Question

1. a linear equation describes the amount of gas in a tank over time: $g = -2t + 50$, where $g$ is gallons, and $t$ is time in hours. how many gallons are left after 10 hours?

a. 50 gallons
b. 20 gallons
c. 40 gallons
d. 30 gallons

Explanation:

Step1: Identify the value of t

We know that \( t = 10 \) hours (given in the problem).

Step2: Substitute t into the equation

The equation is \( G=-2t + 50 \). Substitute \( t = 10 \) into the equation:
\( G=-2(10)+50 \)

Step3: Calculate the value of G

First, calculate \( -2(10)=-20 \). Then, \( G=-20 + 50 \).
\( G = 30 \)

Answer:

d. 30 gallons