A1 Bobcat Services charges $75/h for services rendered, plus an initial fee of $120 to reach the worksite.
a) Write the equation of the line for this partial linear relationship. (Value: 2 pts)
b) Estimating that a project is going to take 2 days (16 h), find the cost of hiring the bobcat and its operator.
Show all workings to receive full marks, (Value: 1 pt)
a) Let x be the number of hours and y be the total cost.
The equation of the line for this partial linear relationship is:
y = 75x + 120
b) Given that the project is going to take 2 days (16 hours), we can substitute x = 16 into the equation to find the total cost:
y = 75(16) + 120
y = 1200 + 120
y = $1320
Therefore, the cost of hiring the bobcat and its operator for a project that takes 2 days (16 hours) is $1320.