Question

Janelle and her best friend Carmen go shopping. The function p(t) = 5x4 − 3x3 + 2x2 + 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?

Answer 1

176

Explanation:

Answer 2

$176

Explanation:

The function
`p(x) = 5x^4-3x^3 + 2x^2 + 24` represents how much money each girl spent based on the number of hours they were shopping.

Janelle goes shopping for 2 hours, then x=2 and

`p(x)=5\cdot 2^4-3\cdot 2^3+2\cdot 2^2+24=5\cdot 16-3\cdot 8+2\cdot 4+24=80-24+8+24=88`

Thus, Janelle spent $88.

Carmen goes shopping for 2 hours, then x=2 and

`p(x)=5\cdot 2^4-3\cdot 2^3+2\cdot 2^2+24=5\cdot 16-3\cdot 8+2\cdot 4+24=80-24+8+24=88`

Thus, Carmen spent $88 too.

Together they spent

$88+$88=$176