Question

On a city map 3/4 inch corresponds to 7 1/2 miles bonnie drives from her house to a movie theater and then from a movie theater to a restaurant. On the map the movie theater is 1/2 inch from her house and the restaurant is 3/4 inch from the theater how many miles does Bonnie driven when she gets to the restaurant
A. 1 1/4
B. 9 3/8
C. 10
D. 12 1/2

Answer 1

Answer:

Option D: $12\frac{1}{2}$ is the correct answer.

Step-by-step explanation:

Given that:

3/4 inches on map are equal to $7\frac{1}{2}$ miles

We will find the unit rate in term of inches.

$\frac{3}{4}\ inches = 7\frac{1}{2}\\\\Unit\ rate = \frac{15}{2}*\frac{4}{3}\ miles\\\\Unit\ rate = 10\ miles\ per\ inch$

Total distance covered by Bonnie according to map;

Total distance = $\frac{1}{2}+\frac{3}{4} = \frac{2+3}{4}$

Total distance = $\frac{5}{4}\ miles$

Actual distance = $\frac{5}{4}*10 = \frac{25}{2}\ miles$

Actual distance = $12\frac{1}{2}\ miles$

Hence,

Option D: $12\frac{1}{2}$ is the correct answer.