Question 1
A plumber charges a flat service fee plus an hourly rate. The total charge for a 2-hour job is $130 and for a 5-hour job is $250. What is the plumber's hourly rate, in dollars?
Medium - Quiz 1
How well can you connect slope, intercepts, and real-world rates? Work through problems that ask you to interpret, compare, and build linear functions.
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The function \(f(x) = -4x + 200\) models the number of tickets remaining for a concert \(x\) hours after sales open. What does the slope represent in this context?
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A line passes through the points \((2, -1)\) and \((6, 11)\). What is the equation of this line in slope-intercept form?
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Two phone plans are modeled by the functions below, where \(x\) is the number of gigabytes of data used per month.
\[\begin{aligned} \text{Plan A:} \quad C &= 5x + 20 \\ \text{Plan B:} \quad C &= 8x + 11 \end{aligned}\]
For what value of \(x\) do both plans cost the same?
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Answer question 4 to unlock
A reservoir contains 800,000 gallons of water. Due to a drought, water is released at a constant rate, and after 10 days the reservoir holds 650,000 gallons. If the release rate stays the same, after how many total days will the reservoir hold 500,000 gallons?