Answer: a.) A = 15T , b.) A = 150 c.) T = 10 d.) (T = 10) represents the number of hours Jeff needs to work during the winter season to charge the same amount as Hesketh's Snow Removal,
Explanation:
a) To write an equation for the amount Jeff charges to clear a driveway for the season, we can use the formula: Amount = Rate × Time. In this case, Jeff charges $15 per hour, and the season is not defined in hours but as a fixed price. Let's assume the season is the entire winter season. Therefore, we'll need to know how many hours he works during the winter season to calculate the total amount charged. Let's call the total amount charged A, the rate R, and the time T:
A = R × T
Since we know that Jeff charges $15 per hour, we can write the equation as:
A = 15T
b) Hesketh's Snow Removal charges a fixed price of $150 for the season, regardless of the number of hours or driveways cleared. So, the equation for Hesketh's Snow Removal is simply:
A = 150
c) To find the intersection point of the two linear equations, we need to set them equal to each other and solve for T:
15T = 150
Now, divide both sides by 15 to isolate T:
T = 150 / 15
T = 10
So, the intersection point is T = 10.
d) In this context, the point of intersection (T = 10) represents the number of hours Jeff needs to work during the winter season to charge the same amount as Hesketh's Snow Removal, which charges a fixed price of $150 for the entire season. It's the point where the two pricing models yield the same total cost for snow removal services.