Question

The average gas price in a city rose from $3.51 per gallon in May to $3.60 per gallon in June. The equation y = 0.09x + 3.51 represents the gas price in the city, where x is the number of months. Which is the meaning of the slope in this linear equation?

Answer 1

Answer:

The meaning of the slope in this linear equation is rate of change of average gas per month.

Step-by-step explanation:

The average gas price in a city rose from $3.51 per gallon in May to $3.60 per gallon in June.

So, change = $3.60-$3.51 =$0.09

The given equation is $y = 0.09x + 3.51$

Where x is the number of months.

The given equation is linear .

General form of equation of line : $y=mx+c$

Where m is the slope i.e. rate of change

Comparing this general form with given equation.

m = 0.09

Slope of the given equation is 0.09

So, 0.09 is the rate of change in the gas price per month

Hence the meaning of the slope in this linear equation is rate of change of average gas per month.