Problem

Analyze the student's statement about $C(h)=20h+50$. Identify the parameter-interpretation error, correct the slope and intercept meanings with units, and verify the correction using $C(0)$ and $C(1)$.

Big Picture

What this problem is really about

A parameter’s algebraic position determines its meaning: the variable coefficient is a rate, while the constant is the zero-input amount. We’ll diagnose the swapped roles, restore the correct contextual units, and evaluate the model at zero and one input unit. The first value checks the intercept, and their difference checks the slope.

Answer choices

Choose your path.

Preview only

error type = sign error; corrected = 50 is rate and 20 fee; checks = C(0)=$50, C(1)=$70, so cost falls $20

error type = slope/intercept swap; corrected = 50 dollars is initial fee and 20 dollars/hour is the rate; checks = C(0)=$50, C(1)=$70, so one hour adds $20

error type = no error; corrected = 50 dollars/hour is rate and 20 is fee; checks = C(0)=$50, C(1)=$70, so one hour adds $20

error type = slope/intercept swap; corrected = 20 is initial fee and 50 dollars/hour is rate; checks = C(0)=$50, C(1)=$70, so one hour adds $50

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Analyze the student's statement about \(C(h)=20h+50\). Identify the parameter-interpretation error, correct the slope and intercept meanings with units, and verify the correction using \(C(0)\) and \(C(1)\).

What this problem is really about

Turn the preview into practice.

Gozunta lets you study this problem—and more than 10,000 others.