Answer:
(a)
The Business Plan costs less if the water usage is 22 HCF.
It costs $8 less than the other plan.
(b)
The costs of the plans equal each other at 14 HCF.
The Business Plan costs less for water usage amounts greater than 14 HCF.
Explanation:
(a)
- We see that water usage is plotted on the x-axis and cost is plotted on the y-axis.
Cost of 22 HCF for the Business Plan:
- To find the cost of 22 HCF for the Business Plan, we look for the y-coordinate when the x-coordinate of this is 22.
Thus, we see that the cost of 22 HCF for the Business Plan is $$36.
Cost of 22 HCF for the Residential Plan:
- Similarly, we can find the cost of 22 HCF for the Residential Plan by looking for the y-coordinate when the x-coordinate of this plan is 22.
Thus, the cost of 22 HCF for the Residential Plan is $44.
Cheaper clan:
Thus, the cost of 22 HCF is cheaper on the Business Plan.
Difference in costs:
To determine how much cheaper is the cost of the Business Plan than the Residential Plan, we subtract 36 from 44:
Difference = 44 - 36
Difference = 8
Thus, the cost of 22 HCF on the Business Plan is $8 less than on the Residential Plan.
(b)
Amount of water usage where the costs equal each other:
- To determine the amount of water usage that makes the two plans have the same cost, we look at the x-coordinate of the intersection point for the two lines.
- We see that the two lines intersect at the point (14, 28).
Thus, at 14 HCF, the two plans have the same cost.
Plan that costs less with more than 14 HCF of water usage:
We see that the line for Business Plan is lower than the line for Residential Plan for water usage amounts higher than 14 HCF.
Thus, the Business Plan costs less than the Residential Plan for water usage amounts higher than 14 HCF.