Exercise 1 Page 602

We are given that the scale of a map is 1inch: 125miles. To find the actual distance between Bangor and Portland, we can create a proportion. 1/125=distance on a map/actual distanceAfter measuring the distance using a ruler, we can see that the cities are 78 inches apart on the map. Let's substitute this value into the proportion. Let x represent the actual distance. 1/125=78/x Now we will solve the above proportion for x using cross multiplication.

1/125=78/x

CrossMult

Cross multiply

1* x=125*7/8

▼

Solve for x

MultByOne

a * 1=a

x=125*7/8

MoveLeftFacToNum

a*b/c= a* b/c

x=125*7/8

Multiply

Multiply

x=875/8

CalcQuot

Calculate quotient

x=109.375

RoundInt

Round to nearest integer

x≈109

The distance between Bangor and Portland is approximately 109 miles.