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Wendall and Sarah are taking road trips. Wendall travels for 15x miles per hour for x hours. Sarah travels for 6 more hours than Wendall at a speed that is 8 miles per hour less than Wendall. Which of the following functions will give the total number of miles that Sarah traveled on her road trip?

A. ) t(x)= 15x^2-114x-48
B.) t(x)= 7x^2-48
C.) t(x)= 7x^2+6x
D.) t(x)= 15x^2+82x-48



Answer :

Illuminati750
Hello, 

Wendall travels for x hours, and Sarah travels for 6 more hours than Wendal, so
Sarah travels: (x+6) hours

Wendal's speed is: [tex]15 x\,\,\frac{mi}{h} [/tex]. Sarah travels 8 miles per hour less than Wendal, so:
 Sarah's speed= [tex](15 x-8)\,\,\frac{mi}{h} [/tex]

[tex]d=v*t \\ d=(15x-8)(x+6) \\ d=15 x^{2}+90x-8x-48 \\ \boxed{d=15 x^{2} +82x-48}[/tex]

Answer: D

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