Math Question I need help with!

Sofia is working two summer jobs, making $12 per hour babysitting and making $8 per hour clearing tables. In a given week, she c

Mamont248 [21]

The possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2, 3 hours

Solution:

Amount earned in babysitting = $ 12 per hour

Amount earned in clearing tables = $ 8 per hour

In a given week, she can work a maximum of 17 total hours and must earn a minimum of $180

Sofia worked 14 hours babysitting

Therefore,

Amount earned at babysitting = 14 x 12 = 168

Thus, Sofia earned $ 168 at babysitting

Sofia must earn a minimum of $ 180

Remaining amount to be earned = 180 - 168 = 12

Thus, Sofia must earn $ 12 from clearing tables

Amount earned in clearing tables = $ 8 per hour

So, she must work for atleast 1.5 hours to get $ 12 from clearing tables

She can work a maximum of 17 total hours and Sofia worked 14 hours babysitting

Remaining is 17 - 14 = 3 hours

Thus possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2 hours or 3 hours

3 0

2 years ago

House price y is estimated as a function of the square footage of a house x and a dummy variable d that equals 1 if the house ha

tresset_1 [31]

Answer:

a-1. The predicted price of a house with ocean views and square footage of 2,000 is $411,500.00.

a-2. The predicted price of a house with ocean views and square footage of 3,000 is $531,500.00.

b-1. The predicted price (in $1,000s) of a house without ocean views and square footage of 2,000 is $358,900.

b-2. The predicted price of a house without ocean views and square footage of 3,000 is $478,900.00.

c. The correct option is An ocean view increases the value of a house by approximately $52,600.

Step-by-step explanation:

Given:

yˆ = 118.90 + 0.12x + 52.60d ………………. (1)

a-1. Compute the predicted price (in $1,000s) of a house with ocean views and square footage of 2,000. (Round intermediate calculations to at least 4 decimal places. Round your answer to 2 decimal places.)

This implies that we have:

x = 2,000

d = 1

Substituting the values into equation (1), we have:

yˆ = 118.90 + (0.12 * 2000) + (52.60 * 1) = 411.50

Since the predicted price is in $1,000s, we have:

yˆ = 411.50 * $1000

yˆ = $411,500.00

Therefore, the predicted price of a house with ocean views and square footage of 2,000 is $411,500.00.

a-2. Compute the predicted price (in $1,000s) of a house with ocean views and square footage of 3,000. (Round intermediate calculations to at least 4 decimal places. Round your answer to 2 decimal places.)

This implies that we have:

x = 3,000

d = 1

Substituting the values into equation (1), we have:

yˆ = 118.90 + (0.12 * 3,000) + (52.60 * 1) = 531.50

Since the predicted price is in $1,000s, we have:

yˆ = 531.50 * $1000

yˆ = $531,500.00

Therefore, the predicted price of a house with ocean views and square footage of 3,000 is $531,500.00.

b-1. Compute the predicted price (in $1,000s) of a house without ocean views and square footage of 2,000. (Round intermediate calculations to at least 4 decimal places. Round your answer to 2 decimal places.)

This implies that we have:

x = 2,000

d = 0

Substituting the values into equation (1), we have:

yˆ = 118.90 + (0.12 * 2000) + (52.60 * 0) = 358.90

Since the predicted price is in $1,000s, we have:

yˆ = 358.90 * $1000

yˆ = $358,900.00

Therefore, the predicted price of a house without ocean views and square footage of 2,000 is $358,900.00.

b-2. Compute the predicted price (in $1,000s) of a house without ocean views and square footage of 3,000. (Round intermediate calculations to at least 4 decimal places. Round your answer to 2 decimal places.)

This implies that we have:

x = 3,000

d = 0

Substituting the values into equation (1), we have:

yˆ = 118.90 + (0.12 * 3,000) + (52.60 * 0) = 478.90

Since the predicted price is in $1,000s, we have:

yˆ = 478.90 * $1000

yˆ = $478,900.00

Therefore, the predicted price of a house without ocean views and square footage of 3,000 is $478,900.00.

c. Discuss the impact of ocean views on the house price.

Since the coefficient of d in equation (1) is 52.60 and positive, and the predicted price is in $1,000s; the correct option is An ocean view increases the value of a house by approximately $52,600.

3 0

2 years ago

Can you answer this plzz and the pic that goes with it???????? Thx soo much!!!!!

kkurt [141]

Answer: c. t > 82

Step-by-step explanation:

Let t represent the number of tickets that the committee would sell.

The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance. This means that the revenue that they would generate from selling x tickets is

72 + 4x

The dance will cost $400.

To make profit, revenue must be greater than cost. Therefore, the inequality to determine the number of tickets the committee could sell to have money left over after they pay for this year's dance is

72 + 4x > 400

4x > 400 - 72

4x > 428

x > 328/4

x > 82

5 0

2 years ago

Read 2 more answers

Mr. mole left his burrow that lies 7 meters below the ground and started digging his way deeper into the ground, descending at a

Dimas [21]

Answer:

$f(t)=-\frac{3}{2}t-7$

Step-by-step explanation:

We know that:

The initial conditions are -7 meters at 0 minutes.
Then, after 6 minutes, he was 16 meters below the ground.

According to these two simple facts we can found the linear function that describes this problem. First, the problem says that Mr. Mole is descending at a constant rate, which is the slope of the function. Now, to calculate the slope we need to points, which are $(0;-7)$ and $(6;-16)$ , where t-values are minutes, and y-values are meters. You can see, that the first point is the initial condition and the second point is 6 minutes later.

So, we calculate the slope:

$m=\frac{y_{2}-y_{1}}{t_{2}-t_{1}} \\m=\frac{-16-(-7)}{6-0}=\frac{-16+7}{6}=\frac{-9}{6}=\frac{-3}{2}$

From the slope we can see that Mr. Mole is descending, because it has a negative sign. Also, the point $(0;-7)$ is on the y-axis, because t is null, so -7 is part of the function. Therefore the function that describes this problem is:

$f(t)=-\frac{3}{2}t-7$

7 0

2 years ago

Read 2 more answers

You typically buy all of your groceries at Grocery Mart. This week, your favorite cereal is on sale there, 4 boxes for $10. At F

julia-pushkina [17]

Answer:

B. Food market

Step-by-step explanation:

You typically buy all of your groceries at Grocery Mart. This week, your favorite cereal is on sale there, 4 boxes for $10. At Food Market, where you don’t typically shop, the same cereal is on sale for $2.25 a box. Based on price, which is the better value option?

A.Grocery Mart

B. Food Market

Grocery market:

4 boxes for $10

Unit price = cost / quantity

= $10 / 4 boxes

= $2.50 per box

Food market:

Price per box = $2.25

The better value option based on price is food market because it cost less to buy a box of cereal than grocery mart

8 0

2 years ago