Question

Lauren is gassing up her truck. When she started pumping gas, there were 25 gallons in the gas tank. The pump is filling the tank at a rate of36 gallons per minute.Write an equation in slope-intercept form to represent the amount of gas in the tank y after x minutes of pumping gas.

Answer 1

The amount of gas in the tank after x minutes of pumping gas can be represented by the equation y = 36x + 25.

Step-by-step explanation:

The amount of gas in the tank after x minutes of pumping gas can be represented by the equation y = 36x + 25. In this equation, y stands for the amount of gas in the tank (in gallons) and x represents the number of minutes. The slope of the equation is 36, which indicates that for every minute, 36 gallons of gas are being added to the tank. The y-intercept of the equation is 25, which represents the initial amount of gas in the tank when Lauren started pumping gas.

Answer 2

From the problem, the initial amount of gas in the tank is 25 gallons.

The pump is filling the tank at a rate of 36 gallons per minute.

We can express this as :

`y=25+36x`

where y is the amount of gas after x minutes.

25 is the initial amount of gas

36 is the rate

and

x is the time in minutes.

Rewriting the equation in slope-intercept form : y = mx + b

The answer is

y = 36x + 25