Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future; however, its value depreciates monthly. The expression shows the depreciated sales value of the gadget:
2,020 − 22m
What does the coefficient of the expression represent?
The number of months Megan will wait to sell the gadget
The monthly depreciation value of the gadget
The amount of money Megan will get when she sells the gadget
The original value of the gadget
The coefficient of the expression is -22.
The monthly depreciation value of the gadget is represented by the coefficient. Therefore, the correct answer is: The monthly depreciation value of the gadget.
The equation the quantity x plus 33 end quantity over 4 equals 3 times x models the workload of a class project, where x is the number of hours each student must contribute. How many hours does each student work on the project?
2 hours
3 hours
7 hours
11 hours
To solve the equation, we can cross-multiply:
(3)(x) = (x + 33)/4
12x = x + 33
11x = 33
x = 3
Therefore, each student works on the project for 3 hours.
Which equation is equivalent to the formula r = st?
t equals s over r
t = rs
s equals r over t
s = rt
The equation that is equivalent to the formula r = st is s = rt.
A pilot was scheduled to depart at 4:00 p.m., but due to air traffic, her departure has been delayed by 16 minutes. Air traffic control approved a new flight plan that will allow her to arrive four times faster than she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation that can be used to predict the number of minutes after 4:00 p.m. she will arrive at her destination.
In the original flight plan, the pilot calculated that it will take her x minutes to arrive at her destination.
However, with the new flight plan, she will arrive four times faster. This means it will take her x/4 minutes to arrive at her destination.
Since her departure was delayed by 16 minutes, we need to add this delay to the time it takes her to arrive with the new flight plan.
Therefore, the equation that can be used to predict the number of minutes after 4:00 p.m. she will arrive at her destination is:
(4:00 p.m. + 16 minutes) + x/4 minutes = 4:00 p.m. + (16 + x/4) minutes
A pilot was scheduled to depart at 4:00 p.m., but due to air traffic, her departure has been delayed by 16 minutes. Air traffic control approved a new flight plan that will allow her to arrive four times faster than she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation that can be used to predict the number of minutes after 4:00 p.m. she will arrive at her destination.
y equals one fourth times x minus 16
y = 4x − 16
y equals one fourth times x plus 16
y = 4x + 16
Since the pilot's departure was delayed by 16 minutes, the time of her original flight will be the time it takes to arrive at her destination (y) minus the delay (16 minutes).
The new flight plan allows her to arrive four times faster than her original plan, so the time it takes to arrive at her destination will be x/4 minutes.
Therefore, the equation that can be used to predict the number of minutes after 4:00 p.m. she will arrive at her destination is:
y = (x/4) - 16
Graph g(x) = −4x + 8 and identify its x-intercept.
(0, 2)
(0, 8)
(2, 0)
(8, 0)