A radio station charges an initial fee for broadcasting advertisements plus a rate based on the length of the advertisement in s
econds. The table below shows the total charges for advertisements of different lengths.
Which equation BEST represents the linear relationship between n, the length in seconds of an advertisement and c, the total charge of the advertisement?
a. c=3n+180
b. c=4n+120
c. c=2n+210
d. c=5n+150
p.s graph is attached
Which equation BEST represents the linear relationship between n, the length in seconds of an advertisement and c, the total charge of the advertisement?
a. c=3n+180
b. c=4n+120
c. c=2n+210
d. c=5n+150
p.s graph is attached
1 answer:
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Answer:
Option (C) and (D)
Step-by-step explanation:
Given piecewise function is,
f(x) = 2x, x < 1
5, x = 1
, x > 1
Option (A),
x = 5 means x > 1
So the function will be,
f(x) =
f(5) = (5)²
= 25
Therefore, f(5) = 1 is not correct.
Option (B),
x = -2 means x < 1
f(x) = 2x will be applicable.
f(-2) = 2(-2) = -4
Therefore, f(-2) = 4 is not correct.
Option (C)
For x = 1,
f(1) = 5
Therefore, f(1) = 5 is the correct option.
Option (D)
x = 2 means x > 1 and the function defined will be,
f(x) = x²
f(2) = 2²
= 4
Therefore, f(2) = 4 will be the correct option.
Options (C) and (D) will be the answer.