Answer:
a. 48 miles are represented by one inch
b. The two cities are 336 miles apart
Step-by-step explanation:
a.
The equations are directly proportional to each other, meaning we can equal them together
Set up the equation:
1.25 in/60 mi = 1 in/x mi
Variable x = number of miles represented by 1 inch
Cross multiply
1.25 × x = 60 × 1
1.25x = 60
Divide both sides by 1.25 to isolate the variable
1.25x ÷ 1.25 = 60 ÷ 1.25
1x = 48
x = 48
1 inch represents 48 miles
b.
We know 1 inch represents 48 miles, so to find how many miles 7 inches represents, we must multiply
Set up the equation:
7 inches × 48 miles
Solve:
7 × 48 = 336
7 inches represents 336 miles
