Answer: LAST OPTION.
Step-by-step explanation:
You have the following function that represents the amount of money each girl spent:
[tex]p(t) = 2x^4 + 6x^3 - 3x^2 + 24[/tex]
Where "t" is the number of hours they were shopping.
You know that each girl went shopping for 2 hours.
Then, you can substitute [tex]t=2[/tex] into the given function:
[tex]p(2) = 2(2)^4 + 6(2)^3 - 3(2)^2 + 24[/tex]
Evaluating, you get that the amount of money spent by one of these girls in 2 hours, is:
[tex]p(2) = 92[/tex]
Therefore, the total amount of money Kayla and her best friend Cristina spent together is:
[tex]Total=\$92+\$92\\\\Total=\$184[/tex]
This matches with the last option.
Answer:
Option 4 - $184
Step-by-step explanation:
Given : Kayla and her best friend Christina go shopping. The function [tex]p(t) = 2x^4 + 6x^3 - 3x^2 + 24[/tex] represents how much money each girl spent based on the number of hours they were shopping. If Kayla and Christina each go shopping for 2 hours.
To find : How much money did they spend together?
Solution :
The function [tex]p(t) = 2x^4 + 6x^3 - 3x^2 + 24[/tex].
If Kayla and Christina each go shopping for 2 hours i.e. x=2.
[tex]p(2) = 2(2)^4 + 6(2)^3 - 3(2)^2 + 24[/tex]
[tex]p(2) = 32 + 48-12 + 24[/tex]
[tex]p(2) = 92[/tex]
The total amount of money Kayla and her best friend Cristina spent together is
[tex]Total=\$92+\$92\\\\Total=\$184[/tex]
Therefore, they spend together is $184.
So, option 4 is correct.
