Respuesta :

Answer:

Step-by-step explanation:

What is the rate in miles per gallon:

gallons used:           28        39        42

miles;                      628.4  947.7  1020.6

The answer is below

Solution:

A linear function is a function in the form:

y = mx + b; where y is a dependent variable, x is an independent variable, m is the rate of change of y with respect to x, and b is the initial value of y when x is zero.

From the table, we are given the gallon used to cover a distance in miles. To calculate the rate, we can select two points from the table. Using the points in the form (miles, gallons used): (628.4, 28) and (1020.6, 42) we get:

[tex]m=\frac{1020.6-628.4}{42-28}\\\\m=28\ miles\ per\ gallon[/tex]

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