Question

What is the x-intercept of the equation G = 10 - 1.25t, and what is its interpretation in the context of the problem?

a) x-intercept: 8; Interpretation: The gas tank is empty after 8 hours of driving.
b) x-intercept: 4; Interpretation: The gas tank is full after 4 hours of driving.
c) x-intercept: 0; Interpretation: The gas tank is empty before any driving.
d) x-intercept: 10; Interpretation: The gas tank is empty after 10 hours of driv

Answer 1

The x-intercept of the equation G = 10 - 1.25t is 8, and the interpretation is that the gas tank is empty after 8 hours of driving.

Step-by-step explanation:

The x-intercept of the equation G = 10 - 1.25t can be found by setting G to zero and solving for t. When G (which represents the amount of gas in the tank) is 0, the tank is empty. Therefore, to find the x-intercept, set G to 0 and solve:

0 = 10 - 1.25t

1.25t = 10

t = 10 / 1.25

t = 8

So, the x-intercept is 8. The interpretation in the context of the problem is that the gas tank is empty after 8 hours of driving. This fits the description of option a): x-intercept: 8; Interpretation: The gas tank is empty after 8 hours of driving.