The equation y = 15.7x + 459 can be used to predict the cost of renting a studio apartment in a certain housing complex, where x is the number of years since 2005. what if the best prediction for the cost of renting a studio apartment in this complex in 2025? a.314.00 b.392.50 c.773.00 d.851.50

Option (C) is correct

The cost of renting a studio apartment in this complex in 2025 will be $773.00

Step-by-step explanation:

Given : The equation y = 15.7x + 459 can be used to predict the cost of renting a studio apartment in a certain housing complex, where x is the number of years since 2005.

We have to calculate the cost of renting a studio apartment in this complex in 2025

Consider the given equation y = 15.7x + 459 ,

x is the number of years since 2005.

Since, we have to find the cost of renting the complex in year 2025.

Number of years  from 2005 to 2025 is

2025 - 2005 = 20

Thus, the cost will be find by putting x = 20 in given equation

so, y = 15.7(20) + 459 = 773

Thus,  the cost of renting a studio apartment in this complex in 2025 will be $773.00

Thus, Option (C) is correct.

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2