Question

Suppose it takes you 14 hour to drive to the movie theater at a rate of 40 mph. Your friend lives closer to the movie theater than you do. Which inequality represents the distance d (in miles) that your friend lives from the movie theater?
A. d < 10

B. d > 10

C. d > 40

D. d < 160

Answer 1

Answer: (d)

Step-by-step explanation:

Given

It takes 14 hours with 40 mph to reach the theatre

so, the distance traveled is given by

$\Rightarrow d_1=40\times 14\\\Rightarrow d_1=560\ \text{miles}$

It is given that d is the distance from theatre to friend's house

So, d must be less than $d_1$ i.e.

$d$

So, the most appropriate option out of the given is option (d) as d must be less than 560 and it is possible that it maybe less than 160.