At a campground, kayak rental company A charges a fixed amount of $10 plus $8 per hour for renting a one-person kayak. Company B charges a fixed amount of $6 plus $10 per hour for a one-person kayak. Write and solve an inequality representing the number of hours where Option A will be the cheaper rental company. Let x represent the number of hours.(1 point)

Answer 1

For Company A, the total cost, C, of renting a one-person kayak can be represented by the equation:
C = 10 + 8x

For Company B, the total cost, C, of renting a one-person kayak can be represented by the equation:
C = 6 + 10x

To find the number of hours where Option A will be the cheaper rental company, we need to find the range of values for x where the cost for Company A is less than the cost for Company B.

Let's solve the inequality:
10 + 8x < 6 + 10x

Subtract 6 from both sides:
4 + 8x < 10x

Subtract 8x from both sides:
4 < 2x

Divide both sides by 2:
2 < x

So the inequality representing the number of hours where Option A will be the cheaper rental company is: x > 2