Interpreting linear equation graphs for a swimming pool membership cost and a trip to Nashville.

Graph showing the total cost of swimming pool membership over time, with a linear equation line and labeled axes for time in months and total cost in dollars.

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Show Answer Key & Explanations Step-by-step solution for: Interpret Linear Equation Graphs (Find Slope, y-intercept ...

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Final Answer:
1. a. The y-intercept is $50; it means the membership fee (cost when usage = 0 hours). The slope is $3/hour; it means the additional cost per hour of pool use.
b. The graph shows total cost increasing linearly with hours used — more hours → higher total cost.
c. Equation: $ C = 3h + 50 $
d. $ h = \frac{200 - 50}{3} = 50 $ hours

2. a. The y-intercept is 0; it means Audri starts at Nashville (distance = 0 at time = 0). The slope is 60 mph; it means her speed toward Knoxville.
b. The graph shows distance from Nashville increasing steadily over time — she’s driving away at constant speed.
c. Equation: $ d = 60t $
d. $ t = \frac{120}{60} = 2 $ hours

Parent Tip: Review the logic above to help your child master the concept of interpreting slope and y intercept worksheet.

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