The function C(x) = 25.50x + 50 models the total cost for a cleaning company to clean a house, where x is the number of hours it
1 answer:
Answer:
$25.5 per hour.
Step-by-step explanation:
The function C(x) = 25.50x + 50 ........ (1) models the total cost for a cleaning company to clean a house, where x is the number of hours it takes to clean the house.
Now, from the linear equation it is clear that the change in cost of cleaning from 3 hours and 9 hours are respectively {From equation (1)}
C(3) = 25.5 × 3 + 50 = $126.5 and
C(9) = 25.5 × 9 + 50 = $279.5
Therefore, the average rate of change of the function between 3 hours and 9 hours will be =
=
= $25.5 per hour. (Answer)
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Question:
Which scenario best matches the linear relationship expressed in the equation y = –14x + 1,700?
1) Kent has $1,700 in his bank account and spends $14 each week.
2) Kent has $1,700 in his bank account and deposits $14 each week.
3) Kent had $1,700 in his bank account and deposited another $14.
4) Kent has $14 in his bank account and spent $1,700.
Answer:
Option 1) Kent has $1,700 in his bank account and spends $14 each week.
Step-by-step explanation:
Let x denote the number of weeks.
Option 1: Kent has $1,700 in his bank account and -14x as the negative sign denotes how much amount he spend each week.
Thus, Option 1 is the correct answer.
Option 2: Kent has $1,700 in his bank account and deposits $14 each week.
Writing it as equation, we have, which is not the expressed linear equation.
Hence, Option 2 is not the correct answer.
Option 3: Kent had $1,700 in his bank account and deposited another $14.
Writing it as equation, we have, which is not the expressed linear equation.
Hence, Option 3 is not the correct answer.
Option 4: Kent has $14 in his bank account and spent $1,700.
Writing it as equation, we have, which is not the expressed linear equation.
Hence, Option 4 is not the correct answer.
Thus, the scenario that matches the linear equation relationship expressed in the equation is Option 1.
The answer is Kent has $1,700 in his bank account and spends $14 each week.