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Back to Exercise: Interpreting slope and y-intercept in context

Exercises: Interpreting Slope and Intercept in Context

Most of these need no computation. Set the input to zero to find the starting value, and derive units by division.

Grade 10·22 problems·~35 min·Digital SAT Math·topic·sat-alg-lin2-interp
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A

Warm-Up: Review What You Know

These review reading a linear equation.

1

In the equation C=25m+40C = 25m + 40, which number is the constant term?

2

For C=25m+40C = 25m + 40, what is the value of CC when m=0m = 0?

B

Fluency Practice

State what each number means, with its units.

1

A gym membership costs C=25m+40C = 25m + 40 dollars after mm months. What does the 25 represent?

2

A tank drains according to V=500−12tV = 500 - 12t, where VV is volume in litres and tt is time in minutes. What are the units of the 12?

3

A tank drains according to V=500−12tV = 500 - 12t, with VV in litres and tt in minutes. How many litres does the tank hold at the moment draining begins?

4

For the draining tank V=500−12tV = 500 - 12t, what is the best interpretation of the −12-12?

5

A bakery order satisfies 3m+2j=243m + 2j = 24, where mm is the number of muffins at 3 dollars each, jj is the number of juices at 2 dollars each, and 24 dollars is spent in total. The point (4,6)(4, 6) lies on the graph of the equation, with mm on the horizontal axis. What does this point mean?

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