Advanced Slope & Linear Equation Word Problems

Question 1

A taxi charges a 4-dollar pickup fee plus 2.50 dollars per mile. Which equation gives the total cost $C$ for $m$ miles?

Accepted Answer

$C = 2.5m + 4$

Answer

$C = 4m + 2.5$

Answer

$C = 2.5m - 4$

Answer

$C = 6.5m$

Question 2

A linear model for a car’s value is $V(t)=18000-1500t$, where $t$ is years since purchase. What does the $-1500$ represent?

Accepted Answer

The value decreases by $\$1500$ each year.

Answer

After $1500$ years, the car will be worth $\$0$.

Answer

The car is worth $\$1500$ when purchased.

Answer

The value decreases by $\$18000$ each year.

Question 3

A phone battery is at $92\%$ at 1 PM and $68\%$ at 5 PM, changing linearly. Which equation models battery percent $B(t)$, where $t$ is hours after 1 PM?

Accepted Answer

$B(t)=92-6t$

Answer

$B(t)=92-24t$

Answer

$B(t)=68-6t$

Answer

$B(t)=92+6t$

Advanced Slope & Linear Equation Word Problems

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