Exercise 34 Page 610

We are given that the scale for model trains is 1: 48. To find the corresponding length of the model, we will create a proportion. 1/48=length of the model/actual length Since we know that the actual length of a train car is 72 feet, we will substitute this value into the proportion. Let x represent the length of the model. 1/48=x/72 Now we will solve the above proportion for x using cross multiplication.

1/48=x/72

CrossMult

Cross multiply

1* 72=48* x

▼

Solve for x

Multiply

Multiply

72=48x

DivEqn

.LHS /48.=.RHS /48.

72/48=x

CalcQuot

Calculate quotient

1.5=x

RearrangeEqn

Rearrange equation

x=1.5

The corresponding length of the model is 1.5 feet. However, we are asked to express our answer in inches. To do this, we will multiply 1.5 by 12, as there are 12 inches in one foot. 1.5ft=1.5* 12in.=18in. The corresponding length of the model is 18 inches.