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)
10 + 8x > 6 + 10x; x < 2
10 + 8x > 6 + 10x; x < 2
6+10x < 10 + 8x; x > 2
6+10x < 10 + 8x; x > 2
10+ 8x < 6 + 10x; x > 2
10+ 8x < 6 + 10x; x > 2
6 + 10 x > 10 + 8x; x < 2
The correct inequality representing the number of hours where Option A will be the cheaper rental company is:
10 + 8x < 6 + 10x
To solve this inequality, you can start by subtracting 6 from both sides:
10 - 6 + 8x < 10 - 6 + 10x
This simplifies to:
4 + 8x < 10x
Next, subtract 8x from both sides:
4 + 8x - 8x < 10x - 8x
Simplifying further:
4 < 2x
Finally, divide both sides by 2:
4/2 < 2x/2
Which gives the solution:
2 < x
So, Option A will be cheaper for any number of hours greater than 2.
The correct inequality representing the number of hours where Option A will be the cheaper rental company is:
10 + 8x < 6 + 10x
To solve this inequality, we need to isolate x on one side of the inequality sign.
First, let's subtract 6 from both sides:
10 + 8x - 6 < 6 + 10x - 6
This simplifies to:
4 + 8x < 10x
Next, let's subtract 8x from both sides:
4 + 8x - 8x < 10x - 8x
This simplifies to:
4 < 2x
Finally, let's divide both sides by 2 to solve for x:
4/2 < 2x/2
2 < x
So the solution to the inequality is x > 2.
The correct inequality representing the number of hours where Option A will be the cheaper rental company is:
10 + 8x < 6 + 10x; x > 1