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Gelneren [198K]

1 year ago

13

Tamara was asked to write an example of a linear functional relationship. She wrote this example: My babysitting service charges

an initial $5.00 fee plus an additional $6.50 per hour. Complete the table below to show the babysitting rate for different numbers of total hours. Then write a linear equation in the form y=mx+b that represents this relationship where m is the slope and b is the y-intercept. Use the on-screen keyboard to type your answers in the boxes below. Total Hours 1 $
2 $
3 $
4 $

1 answer:

Vlada [557]1 year ago

7 0

Answer:

Hours Charge

1 y = 6.5(1) + 5 = $11.5

2 y = 6.5(2) + 5 = $18

3 y = 6.5(3) + 5 = $24.5

4 y = 6.5(4) + 5 = $31

Step-by-step explanation:

In an equation y=mx+b, we can interpret the intercept b as the value of the initial charge and the slope m as the additional charge per hour. So, we can formulate the following equation:

y = 6.5x + 5

Where x is the hours and y are the charges for the babysitting, so, we can fill the table as:

Hours Charge

1 y = 6.5(1) + 5 = $11.5

2 y = 6.5(2) + 5 = $18

3 y = 6.5(3) + 5 = $24.5

4 y = 6.5(4) + 5 = $31

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A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft, and it weighs 50 lbs. T

Lady_Fox [76]

Answer:

116 units of the first product

380 units of the second product

Step-by-step explanation:

Product 1 has a unit volume of 10 cu ft

Product 2 has a unit volume of 3 cu ft

The truck has 2300 cu ft of space

Product 1 weighs 50 lbs

Product 2 weighs 40 lbs

The truck can carry 21000 lbs

Let X be the units of product 1

Let Y be the units of product 2

The given information can be expressed as:

10X+3Y=2300...(1)

50X+40Y=21000...(2)

Solving the system of equations:

10X+3Y=2300...(1)

10X=2300-3Y

X=(2300-3Y)/10

Substituting X in (2) we have:

50X+40Y=21000

50[(2300-3Y)/10]+40Y=21000

50[(2300/10)-(3Y/10)]+40Y=21000

50[230-(3Y/10)+40Y=21000

11500-(150Y/10)+40Y=21000

11500-15Y+40Y=21000

11500+25Y=21000

25Y=21000-11500

25Y=9500

Y=380

Substituting Y in (1) we have:

10X+3Y=2300...(1)

10X+3(380)=2300

10X+1140=2300

10X=2300-1140

10X=1160

X=116

So 116 units of the first product and 380 units of the second product can be transported in a single shipment with one truck.

8 0

2 years ago

Ramina found the length of two pieces of ribbon to be 47.6 inches and 39.75 inches. Which is an effective estimation strategy fo

lukranit [14]

Answer:

<h3>Add 47.6 and 39.75, then round the answer</h3>

Step-by-step explanation:

If Ramina found the length of two pieces of ribbon to be 47.6 inches and 39.75 inches, the effective strategy of finding the sum of the two lengths is to:

1) First is to add the two values together

47.6 + 39.75

= (47+0.6)+(39+0.75)

= (47+39)+(0.6+0.75)

= 86 + 1.35

= 87.35

2) Round up the answer to nearest whole number.

87.35 ≈ 87 (note that we couldn't round up to 88 because the values after the decimal point wasn't up to 5)

Option C is correct

7 0

1 year ago

Read 3 more answers

James works as a waiter. He served meals with bills of $23.59, $40.65, $30.50, and $15.68. If his total for tips was $17.67, wha

mr_godi [17]

<span><span>1. </span>James works as a waiter.
He served food with the following price
=> 23.59 dollars
=> 40.65 dollars
=> 30.50 dollars
=> 15.68 dollars
Let’s add this altogether:
=> 23.59 + 40.65 + 30.50 + 15.68
=> 110.42 the total of the ordered food.
Now, James received a tip of 17.67 dollars. Find the interest rate of his tip.
=> 110.42 * .50 = 55.21, thus the interest rate of tip is less than 50%
=> You can do trial and error to get the correct rate,
=> 110.42 * .16 = 17.67, thus he received 16% tip</span>

3 0

2 years ago

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The function f(x) = –10(x)(x – 4) represents the approximate height of a projectile launched from the ground into the air with a

sineoko [7]

The height of the project becomes zero when it hits the ground which is also the total time at which the projectile stays in the air. Equating the function to zero:
-10(x)(x - 4) = 0
The roots of this quadratic equation are:
x = 0, and x=4

Therefore, the projectile stays in the air for
4 seconds

4 0

2 years ago

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The annual expenditure of the US federal government is approximately 444 trillion dollars. If a one dollar bill is 0.00010.00010

Vsevolod [243]

Answer:

$4*10^{7}$ meters.

Step-by-step explanation:

This question can be solved using a rule of three.

If a one dollar bill is 0.0001 meters thick.

So 1 dollar is $10^{-5}$ m tall.

How tall is 4 trillion one dollar bills?

1 trillion = $10^{12}$

So 4 trillion = $4*10^{12}$

Then

1 dollar - $10^{-5}$ m

$4*10^{12}$ - xm

$x = 4*10^{12}*10^{-5} = 4*10^{7}$

The answer is $4*10^{7}$ meters.

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1 year ago

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