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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 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:
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 \( y = 39x + 25 \).
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\( y = 39x + 25 \)