Question

Kylie is comparing the cost of two housekeeping companies, DoItRight and CleanIt. The table describes the costs for DoItRight.

Answer 1

Answer:

First, find the cost function of DoItRight Housekeeping:

• Slope(m) = cost per hour = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{44-26}{3-1.5}=\frac{18}{1.5}=12$

The y-intercept(b), representing the initial cost, can be calculated by substituting in values to the function:

$f(x)=12x+b\\26=12(1.5)+b\\b=26-18=8$

Therefore, the function for two companies are:

• The function for DoItRight is $f(x)=12x+8$
• The function for CleanIt is $g(x)=10x+16$

When comparing the two functions, it's shown how CleanIt has a greater y-intercept than DoltRight, meaning that CleanIt has a greater initial cost than DotRight. The y-intercept is when the graph intercepts the y-axis, therefore, the coordinates there would be (0, y-value), which, in this case for CleanIt company, will be (0, 16). While CleanIt has a greater y-intercept(initial cost), DoItRight has a greater slope, meaning they cost more per hour.