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

Option D:
`12(1)/(2)` is the correct answer.

Explanation:

Given that:

3/4 inches on map are equal to
`7(1)/(2)` miles

We will find the unit rate in term of inches.

`(3)/(4)\ inches = 7(1)/(2)\\\\Unit\ rate = (15)/(2)*(4)/(3)\ miles\\\\Unit\ rate = 10\ miles\ per\ inch`

Total distance covered by Bonnie according to map;

Total distance =
`(1)/(2)+(3)/(4) = (2+3)/(4)`

Total distance =
`(5)/(4)\ miles`

Actual distance =
`(5)/(4)*10 = (25)/(2)\ miles \\`

Actual distance =
`12(1)/(2)\ miles`

Hence,

Option D:
`12(1)/(2)` is the correct answer.