Question

Model Cars
*
The graph relates the actual size of a car in feet to a model of the car
in inches. Write an equation that describes the relationship.
3
2
Model Size (in.)
0
1
2 3 4
Actual Size (ft)
Type an equation in y = mx form.
(Type an equation. Use integers or fractions for any numbers in the equation.)

Answer 1

Answer:

y = ⅓x

Step-by-step explanation:

Let's find m.

m = y/x

Using the point on the line, (3, 1),

m = ⅓

Substitute m = ⅓ into y = mx

This, the equation that describes the relationship would be:

y = ⅓x

Answer 2

The linear equation that describes this relationship is y = (1/3)x

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the  line (rate of change) and b is the initial value of y.

Let y represent the actual size in inches and x the actual size in ft.

From the graph using the points (0, 0) and (4.5, 1.5):

y - 0 = [(1.5 - 0)/ (4.5 - 0)](x - 0)

y = (1/3)x

The linear equation that describes this relationship is y = (1/3)x

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