The graph shows the relationship between the number of gallons of fuel remaining in the tank of a semitruck and the number of miles traveled by the semitruck.
Which function can be used to find y, the number of gallons of fuel remaining in the tank of the semitruck after it traveled x miles?
A. y = 240x - 30
B. y = -1/6x + 240
C. y = 240x + 10
D. y = -1/10x + 240
I can't post the graph, but the answer is 1 gallon of fuel per 10 miles if that helps.
If you want the answer, then yes, providing the answer helps!
Based on the given information that the semitruck uses 1 gallon of fuel for every 10 miles traveled, we can deduce that the fuel consumption rate is constant and equal to -1/10 gallon per mile.
Since the function that represents the relationship between the number of gallons of fuel remaining (y) and the number of miles traveled (x) is a linear function, it can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.
Given that the fuel consumption rate is -1/10 gallon per mile, the slope of the function is -1/10.
Thus, the correct answer is:
D. y = -1/10x + 240
To determine the correct function, let's analyze the given information. We know that the semitruck consumes fuel at a rate of 1 gallon per 10 miles. This means that for every 10 miles traveled, the tank will have 1 gallon less.
Let's break down the possible options to find the correct function:
A. y = 240x - 30: This option does not align with the given rate of 1 gallon per 10 miles. It suggests that for every mile traveled, the tank loses 30 gallons, which is not consistent with the information provided. Therefore, this option can be eliminated.
B. y = -1/6x + 240: Similarly, this function does not match the given rate. It states that the tank loses 1/6 gallon for every mile traveled, which is not accurate according to the information provided. Thus, this option can be eliminated as well.
C. y = 240x + 10: In this function, the tank gains 10 gallons for every mile traveled, which contradicts the given information that states a decrease in fuel of 1 gallon per 10 miles. Therefore, this option can also be eliminated.
D. y = -1/10x + 240: This function aligns with the given information that the tank loses 1 gallon for every 10 miles traveled. Hence, this is the correct function. The coefficient of -1/10 indicates that for every 10 miles traveled (x), the tank loses 1/10 (or 0.1) gallon of fuel, starting with an initial amount of 240 gallons (y).
Consequently, the correct function to find y, the number of gallons of fuel remaining after x miles, is:
y = -1/10x + 240