Bridget has 13 gallons of gasoline to use for her lawn-mowing business. She uses gasoline in the lawn mower at a constant rate. Let x represent the number of lawns mowed and y represent the amount of gasoline remaining. Look at the graph of this function. Construct the function for this scenario
Answers
Answer:
lawn mower at a constant rate. Let x represent the number of lawns mowed and y represent the amount of gasoline remaining. Look at the graph of this function. Construct the function for this scenario
Answer: The function for given scenario is:
y = -x + 13,
where y is the amount of gasoline remaining and x is the number of lawns mowed.
Let's assume that Bridget uses x gallons of gasoline for each lawn mowed. Initially, she has 13 gallons of gasoline, and after mowing y lawns, she has yx gallons of gasoline remaining. Since she uses gasoline at a constant rate, we can express the relationship between x and y as a linear function:
y = -x + 13
This is the equation of a straight line in slope-intercept form, where the slope is -1 (since she uses 1 gallon of gasoline for each lawn mowed) and the y-intercept is 13 (since she starts with 13 gallons of gasoline).
We can also interpret this function as a graph, where the x-axis represents the number of lawns mowed (x) and the y-axis represents the amount of gasoline remaining (y). The graph is a straight line that passes through the point (0,13) and has a slope of -1.
The graph shows that as Bridget mows more lawns (x increases), the amount of gasoline remaining (y) decreases at a constant rate. When x = 0, Bridget has all 13 gallons of gasoline, and when x = 13, she has used up all of the gasoline.
So, the function for this scenario is:
y = -x + 13,
where y is the amount of gasoline remaining and x is the number of lawns mowed.
Learn more about linear functions here
https://brainly.in/question/54888683
Learn more about straight line here
https://brainly.in/question/25599442
#SPJ2