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10. lauren is gassing up her truck. when she started pumping gas, there…

Question

  1. 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 of 39 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. 2pts what was already in the tank? that isnt your slope! y = mx + b the equation of the line is:

Explanation:

Step1: Identify slope (m) and y-intercept (b)

The slope-intercept form is \( y = mx + b \), where \( m \) is the rate (slope) and \( b \) is the initial amount (y-intercept). The pump fills at 39 gallons per minute, so \( m = 39 \). Initially, there were 25 gallons, so \( b = 25 \).

Step2: Substitute m and b into the formula

Substitute \( m = 39 \) and \( b = 25 \) into \( y = mx + b \), we get \( y = 39x + 25 \).

Answer:

\( y = 39x + 25 \)