Question

1.) Raymond's car drove for 200 miles using 5 gallons of gas. Create a table, graph and equation that
represents the proportional relationship of how far he can travel given how many gallons of gas is in his
car. (Be sure to scale and label the graph.)
Graph:
Equation: y=
Miles
a) Table:
Gallons of
Gas
o
1
2
3
4
5

Answer 1

Answer/Step-by-step explanation:

First, find the constant of proportionality, k, between miles driven y and gallons of gas available in his car, x.

If he drives 200 miles using 5 gallons of gas, therefore, constant of proportionality = y/x = 200/5 = 40

The equation describing this relationship, is $y = kx$, where k is the constant of proportionality.

Plug in the value of k. The equation would be:

$y = 40x$

Use this to create the table needed by substituting x (gallons of gas) into the equation:

Gallons of gas (x) ==> Miles (y)

0 ==> $y = 40x = 40(0) = 0$

1 ==> $y = 40x = 40(1) = 40$

2 ==> $y = 40x = 40(2) = 80$

3 ==> $y = 40x = 40(3) = 120$

4 ==> $y = 40x = 40(4) = 160$

5 ==> $y = 40x = 40(5) = 200$

*The graph plotted is shown in the attachment below.