Question

It costs a homeowner $6.00 to rent a set of hand tools, plus an additional $2.00 per hour for the rental. The function that models the cost, c, of renting tools for h hours is c = 2h + 6. Identify the solution that has the correct graph and the correct slope.

Answer 1

y = 2x + 6

Explanation:

The equation c = 2h + 6 represents the cost of renting tools for a given number of hours. The slope of this line is the rate at which the cost of renting the tools increases as the number of hours increases. Since the cost increases by $2.00 for each hour that the tools are rented, the slope of the line is 2.

A graph of this line would be a straight line with a slope of 2 and a y-intercept of 6. This means that the graph would pass through the point (0, 6), which represents the cost of renting the tools for 0 hours. The correct solution is therefore the graph of the equation y = 2x + 6.