Which table represents a linear function?
2 answers:
Answer:
(d) see attached
Step-by-step explanation:
A linear function has equally-spaced outputs for equally-spaced inputs. The given tables all have sequential values for x, so we can find the linear function by looking at the differences of y-values.
a) 2 -1 ≠ 4 - 2 . . . . not linear (exponential)
b) 1 -0 ≠ 3 -1 . . . . not linear (quadratic)
c) 1 - 0 ≠ 0 - 1 . . . . not linear
d) 3 -1 = 5 -3 = 7 -5 . . . . a linear function
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The number of listeners is given from the total number of listeners and
the ratio of the listeners between the two stations.
Required:
- <u>The FM sister station has 21,000 listeners</u>
Given:
The daily listening audience of the AM station = 4 × The audience of the FM sister station
The number of people that listen to the two stations = 105,000
Required:
The number of listeners of the FM station
Solution:
The ratio of the listeners is 1:4
Let <em>x</em> represent the number of listeners of the FM sister station, we have;
The number of listeners of AM radio station = 4·x
Which gives;
4·x + x = 105,000
5·x = 105,000
- The number of listeners of the FM sister station, x = <u>21,000</u>
<em />
<em>The number of listeners of he radio station = 21,000 × 4 = 84,000</em>
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Answer:
The speed of the tyre of the car is 1002.24 feet per minute .
Step-by-step explanation:
Given as :
The radius of the car wheel = r = 16 inches
Since 12 inches = 1 feet
So, 16 inches = ×16 = 1.33 feet
The number of revolution of the wheel = 120 revolution per minute
Let The speed of the wheel = s feet per minute
The circumference of wheel = 2 × × radius
where = 3.14
or, circumference = 2 × 3.14 × 1.33
Or, Circumference = 8.352 feet
Now , Speed = circumference of wheel × number of revolution
or, Speed = 8.352 feet × 120 revolution per minute
∴ Speed = 1002.24 feet per minute
Hence The speed of the tyre of the car is 1002.24 feet per minute . Answer