Kylie is comparing the cost of two housekeeping companies, DoItRight and CleanIt. The table describes the costs for DoItRight. Hours, x 1.5 3 3.5 4.5

Total Cost, f(x) $26 $44 $50 $62

The cost of CleanIt Housekeeping is represented by g(x) = 10x + 16, where x represents the number of hours and g(x) represents the total cost in dollars.

Determine which company has the greater initial cost. Plot a point on the graph to represent the initial cost of that company.

First, find the cost function of DoItRight Housekeeping:

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

Therefore, the function for two companies are:

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.

step-by-step explanation: