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 10·19 problems·~30 min·Digital SAT Math·topic·sat-alg-lin2-interp

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Warm-Up: Review What You Know

These review reading a linear equation.

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

$40$

$25$

$m$

$C$

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

$40$

$25$

$65$

$0$

State what each number means, with its units.

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

The one-time joining fee, paid before any month elapses.

The monthly fee, in dollars per month.

The total membership cost, in dollars for the full term.

The number of months covered by the membership.

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

Litres

Minutes

Litres per minute

Minutes per litre

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

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

The tank gains 12 litres each minute.

The tank loses 12 litres each minute.

The tank holds 12 litres.

The tank empties after 12 minutes.

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