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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

Sagot :

absor201

Answer:

Option D: [tex]12\frac{1}{2}[/tex] is the correct answer.

Step-by-step explanation:

Given that:

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

We will find the unit rate in term of inches.

[tex]\frac{3}{4}\ inches = 7\frac{1}{2}\\\\Unit\ rate = \frac{15}{2}*\frac{4}{3}\ miles\\\\Unit\ rate = 10\ miles\ per\ inch[/tex]

Total distance covered by Bonnie according to map;

Total distance = [tex]\frac{1}{2}+\frac{3}{4} = \frac{2+3}{4}[/tex]

Total distance = [tex]\frac{5}{4}\ miles[/tex]

Actual distance = [tex]\frac{5}{4}*10 = \frac{25}{2}\ miles \\[/tex]

Actual distance = [tex]12\frac{1}{2}\ miles[/tex]

Hence,

Option D: [tex]12\frac{1}{2}[/tex] is the correct answer.

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