Question

Janelle and her best friend Carmen go shopping. the function p(t) = 5^4-3x^3 +2^2+24 represents how much money each girl spent based on the number of hours they were shopping. If Janelle and Carmen each go shopping for 2 hours how much money did they spend together.

$58
$62
$176
$124
​

Answer 1

c

Explanation:

Answer 2

Hello!

The answer is:

They spent $176 together.

Why?

We are given an expression which represents the money spent for each girl, it's a function of time and it will show how much they can spend in terms of hours.

Assuming that you have committed a mistake writing the equation, otherwise, the given options would not fit, the expression is:

`p(t)=5x^(4)-3x^(3)+2x^(2)+24`

Now, from the statement we know that the function represents how much money each girl spent, so, if we need to calculate how much money they will spend together, we need to multiply the expression by 2, so we have:

`p(t)=2(5x^(4)-3x^(3)+2x^(2)+24)`

Then, calculating the spent money for 2 hours, we need to substitute the variable "x" with 2.

Calculating we have:

`p(2)=2(5*(2)^(4)-3*(2)^(3)+2*(2)^(2)+24)=2(5*16-3*8+2*4+24)`

`p(2)=2(5*16-3*8+2*4+24)=2(80-24+8+24)=2*88=176`

Hence, we have that they spent $176 together.

Have a nice day!