The graph represents the function where electricity usage in kilowatts per hour of a clock radio varies directly with the number

Question

2 months ago

6

The graph represents the function where electricity usage in kilowatts per hour of a clock radio varies directly with the number

of days it is plugged into the wall current. A coordinate grid showing Clock Radio Electricity Usage, with Days Connected to Current on the x-axis and Electricity Usage in kilowatt-hours on the y-axis with a line starting at (0, 0) and passing through (2, 0.5) and (6, 1.5).
Which is a reasonable estimate of the constant of variation?
A. 0.25 kWh per day
B. 0.50 kWh per day
C. 2.40 kWh per day
D. 4.00 kWh per day

Mathematics

2 answers:

PIT_PIT [12.4K] · Answer 1 · 2026-03-09T05:18:09+03:00

Answer:

Choice A

cash 15,000 debit

accounts receivable 15,000 credit

B

cash 150 debit

gift card liability 150 credit

C

accounts receivable 4,000 debit

services revenue 4,000 credit

D

cash 2,250 debit

unearned revenue 2,250 credit

E

accounts receivable 125 debit

service revenues 125 credit

Explanation:

A

Cash is increased and customer accounts are decreased.

B

Recorded cash proceeds with a liability reflecting the future obligation to render services to a customer.

C

Revenue is recognized, leading to an increase in accounts receivable.

D

Since this collection is in advance, it represents unearned revenue as we have a future service obligation.

E

Revenue should be matched at the time it occurs, which was February and not March.

babunello [11.8K] · Answer 2 · 2026-03-09T05:21:38+03:00

Answer:

A reasonable estimate for the constant of variation is 0.25 kWh daily.

Step-by-step explanation:

The problem provides us with the following:

The graph shows electricity usage.

The kilowatt-hour consumption of a clock radio directly correlates with the passage of days.
The x-axis represents the number of days, while the y-axis indicates usage in kilowatt-hours.
Some coordinates on the graph include: (0,0), (2,0.5), and (6,1.5)

Formula for the constant of variation:

$\displaystyle\frac{y_2-y_1}{x_2-x_1}$

By inserting values from the points (2,0.5) and (6,1.5), we arrive at:

$\displaystyle\frac{1.5-0.5}{6-2} = \frac{1}{4} = 0.25\text{ kilowatt-hours per day}$

As a result, the reasonable estimate for the constant of variation is 0.25 kWh per day.