Ask question

Ask question

All categories

1 year ago

12

The number of cities in a region over time is represented by the function C(x)=2.9(1.05)^x. The approximate number of people per

city is represented but the function P(x)=(1.05)^3x+5
Which Function best describes T(x), the approximate population in the region?

HELP!!! PLS

1 answer:

N76 [4]1 year ago

3 0

Answer:

B. $T(x) = 2.9\cdot (1.05)^{4\cdot x + 5}$

Step-by-step explanation:

The approximate population in the region is the product of the number of cities in a region and the approximate number of people per city, that is:

$T(x) = C(x)\cdot P(x)$ (1)

If we know that $C(x) = 2.9\cdot (1.05)^{x}$ and $P(x) = (1.05)^{3\cdot x + 5}$ , then the formula for the approximate population in the region is:

$T(x) = [2.9\cdot (1.05)^{x}]\cdot [(1.05)^{3\cdot x + 5}]$

$T(x) = 2.9\cdot (1.05)^{4\cdot x + 5}$

Hence, correct answer is B.

You might be interested in

How can victoria justify step 3 of her work

Wittaler [7]

A little more info please?

4 0

2 years ago

Read 2 more answers

Which situation could be represented by the graph?

Y_Kistochka [10]

Answer:

A program at a community college can be completed in no fewer than 8 months, but must be completed in less than 11 months.

Step-by-step explanation:

1. The closed dot means the number is equal to and the open dot means the number is less/ greater than

2. The line goes right from the 8 with a closed dot, making x greater than or equal to 8

3. The line goes left from the 11 with an open dot, making x less than ll

4. This means the number must be equal to or greater than 8, and less than 11

9 0

2 years ago

Read 2 more answers

at the game, mrs. burns spent $45 for 4 soft pretzels, 3 bags of peanuts, and 8 bottles of water for snacks for the family. a bo

Irina18 [472]

Answer:

<u>The correct statements are A. The cost of a bottle of water is p – 0.75, C. The cost of a soft pretzel is $3.25. and D. The cost of a bag of peanuts is $4.00.</u>

Step-by-step explanation:

1. This is the information given to solve the case:

Amount spent by Mrs. Burns at the game = US$ 45

Detailed purchase done by Mrs. Burns = 4 soft pretzels, 3 bags of peanuts and 8 bottles of water.

Price of soft pretzel = p

Price of bag of peanuts = p + US$ 0.75

Price of bottle of water = p - US$ 0.75

2. This is the equation for solving the case:

4p + 3(p + 0.75) + 8(p - 0.75) = 45

4p + 3p + 2.25 + 8p - 6 = 45

4p + 3p + 8p = 45 + 6 - 2.25

15p = 48.75

p = 3.25

<u>The price of a soft pretzel is US$ 3.25, of a bag of peanuts is US$ 4 (3.25 + 0.75) and of a bottle of water is US$ 2.50 (3.25 - 0.75).</u>

3. Now, we have all the information necessary to analyze the statements.

A. The cost of a bottle of water is p – 0.75.<u> It's correct</u>.

B. The equation that represents this scenario is (p – 0.75) + (p – 0.75) + p = 45. <u>It's false.</u>

C. The cost of a soft pretzel is $3.25. <u>It's correct.</u>

D. The cost of a bag of peanuts is $4.00.<u> It's correct.</u>

E. The cost of 8 bottles of water is $26.00. <u>It's false. (8 * 2.50 = 20)</u>

<u>The correct statements are A. The cost of a bottle of water is p – 0.75, C. The cost of a soft pretzel is $3.25. and D. The cost of a bag of peanuts is $4.00.</u>

5 0

1 year ago

Read 2 more answers

Emily folded a paper circle into 2 equal parts. What is the angle measure of each part?

timama [110]

The diameter splits the circle into 2 equal halves by going through the midpoint of the circle. The two halves are called semicircles.

7 0

2 years ago

During a field trip, 60 students are put into equal-sized groups. Describe two ways to interpret 60÷5 60 ÷ 5 in this context. Fi

Afina-wow [57]

The second question:

Consider the division expression $7\frac{1}{2} / 2$ . Select all multiplication equations that correspond to this division expression.

$2 * ? = 7\frac{1}{2}$ $7\frac{1}{2} * ?= 2$ $? * 2 = 7\frac{1}{2}$

$2* 7\frac{1}{2} = ?$ $? * 7\frac{1}{2} = 2$

Answer:

1. See Explanation

2. $2 * ? = 7\frac{1}{2}$ and $? * 2 = 7\frac{1}{2}$

Step-by-step explanation:

Solving (a):

Given

$Students = 60$

$Group = Equal\ Sized$

Required

Interpret $\frac{60}{5}$ in 2 ways

<u>Interpretation 1:</u> Number of groups if there are 5 students in each

<u>Interpretation 2:</u> Number of students in each group if there are 5 groups

<u>Solving the quotient</u>

$Quotient = \frac{60}{5}$

$Quotient = 12$

<u>For Interpretation 1:</u>

The quotient means: 12 groups

<u>For Interpretation 2:</u>

The quotient means: 12 students

Solving (b):

Given

$7\frac{1}{2} / 2$

Required

Select all equivalent multiplication equations

Let ? be the quotient of t $7\frac{1}{2} / 2$

So, we have:

$7\frac{1}{2}/2 = ?$

Multiply through by 2

$2 * 7\frac{1}{2}/2 = ? * 2$

$7\frac{1}{2} = ? * 2$

Rewrite as:

$? * 2 = 7\frac{1}{2}$ --- This is 1 equivalent expression

Apply commutative law of addition:

$2 * ? = 7\frac{1}{2}$ --- This is another equivalent expression

8 0

1 year ago