Exercise 2 Page 602

We are given that the scale of a map is 1inch: 125miles. To find the actual distance between Augusta and Houlton, we will create a proportion. 1/125=distance on a map/actual distanceAfter measuring the distance using a ruler, we can see that the cities are 1 516 inches apart on the map. Let's substitute this value into the proportion. Let x represent the actual distance. 1/125=1 516/x Now we will solve above proportion for x using cross multiplication.

1/125=1 516/x

CrossMult

Cross multiply

1* x=125*1 516

▼

Solve for x

MultByOne

a * 1=a

x=125*1 516

MixedToFrac

a bc=a* c+b/c

x=125*21/16

MoveLeftFacToNum

a*b/c= a* b/c

x=125*21/16

Multiply

Multiply

x=2625/16

CalcQuot

Calculate quotient

x=164.0625

RoundInt

Round to nearest integer

x≈164

The distance between Augusta and Houlton is approximately 164 miles.