Answer:
Taylor charges $5 more than Lucy for 2.5 hours.
Explanation:
You need to find how much Taylor charges for 2.5 hours and how much Lucy charges for 2.5 hours.
Taylor:
$15 for first hour and then $10 for each hour r fraction of an hour.
Taylor charges $15 for the first hour.
Then the time remaining is 2.5 hours - 1 hour = 1.5 hours.
The charge for an hour or fraction of an hour after the first hour is $10 per hour.
1.5 hours * $10/hour = $15
Total charge for Taylor: $15 + $15 = $30
Lucy:
Lucy charges according to the function that we are shown.
According to the function, we need the middle equation since that is the one that includes 2.5 hours which is between 2 and 4 hours.
Th function that includes x = 2.5 hours is
f(x) = 10x
Since the number of hours is 2.5, then x = 2.5, and we evaluate the function for x = 2.5.
f(x) = 10x
f(2.5) = 10(2.5)
f(2.5) = 25
Lucy charges $25 for 2.5 hours.
Taylor charges $30. Lucy charges $25.
The difference is $30 - $25 = $5.
Answer: Taylor charges $5 more than Lucy for 2.5 hours.