Answer:
At approximately 5.1 hours, both hosts will charge about the same amount.
Explanation:
First, form the equations for both hosts.
X represents hours and the number by itself (75, and 84) are the initial amount.
Host A: y = 12.25x + 75
Host B: y = 10.50x + 84
Now, we would set the equations equal to each other to solve for x, which will help us determine when both hosts will charge the same amount.
12.25x + 75 = 10.50x + 84
Subtract 10.50x and 75 from both sides.
1.75x = 9
Now, divide by 1.75.
x = 5.1428571428571428571428571428571
It says round to the nearest tenth, so we would round to 1 decimal place after the decimal.
x = 5.1
At approximately 5.1 hours, both hosts will charge about the same amount.