Question

Kayla and her best friend Christina go shopping. The function p(t) = 2x4 + 6x3 − 3x2 + 24 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, how much money did they spend together?

Answer 1

Answer:

Kayla and Christina spent $184 together.

Step-by-step explanation:

The given function p(x) = $2x^{4}+6x^{3}-3x^{2}+24$ represents the money spent by each girl in x hours.

If Kayla did the shopping for x = 2 hours

p(2) = $2(2)^{4}+6(2)^{3}-3(2)^{2}+24$

p(2) = 32 + 48 - 12 + 24

p(2) = $92

Now we have to calculate the money spent by two girls Kayla and Christina both

Money spent by both = 2×92

= $184

Answer 2

Answer:

184.

Step-by-step explanation:

p(x) = 2x^4 + 6x^3 - 3x^2 + 24

Whet  x = 2:

p(2) = 2(2)^4 + 6(2)^3 - 3(2)^2 + 24

= 2*16 + 6*8 - 3*4 + 24

=  32 + 48 - 12 + 24

= 92.

Together they spent  184.