Question

12) Ann’s car can travel 228 miles on 6 gallons of gas.A)Write an equation to represent the distance , y, in miles Ann’s car can travel on x gallons of gas.B) Ann’s used 7 gallons of gas during a trip . How far did Ann drive?

Answer 1

y=36x

Step-by-step explanation: you get this by deviding 228 by 6

Answer 2

Proportional Relationship

Two variables x and y are in a proportional relationship if:

y = k x

Where k is the constant of proportionality.

The value of k can be determined by knowing one point of the function.

A)

Ann's car can travel y = 228 miles on x = 6 gallons of gas. The proportion between the miles traveled and the gallons of gas can be written as:

y = k x

Substituting:

228 = k (6)

Solving for k:

k = 228 / 6

k = 38

Now our function is:

y = 38x

B) If we know x = 7 gallons, we can calculate:

y = 38*7

y = 266

Ann drove 266 miles