A telephone company offers the following plans . Also given are the piecewise functions that model these plans. Use this information to solve Exercises 95-96. Plan A . 530 per month buys 120 minutes. • Additional time costs SO.30 per minute. C ( t ) = { 30 if 0 ≤ t ≤ 120 30 + 0.30 ( t − 120 ) if t > 120 Plan B • $40 per month buys 200 minutes. • Additional time costs $0.30per minute. C ( t ) = { 40 if 0 ≤ t ≤ 200 40 + 0.30 ( t − 200 ) if t > 200 Simplify the algebraic expression in the second line of the piecewise function for plan A. Then use point-plotting to graph the function.
A telephone company offers the following plans . Also given are the piecewise functions that model these plans. Use this information to solve Exercises 95-96. Plan A . 530 per month buys 120 minutes. • Additional time costs SO.30 per minute. C ( t ) = { 30 if 0 ≤ t ≤ 120 30 + 0.30 ( t − 120 ) if t > 120 Plan B • $40 per month buys 200 minutes. • Additional time costs $0.30per minute. C ( t ) = { 40 if 0 ≤ t ≤ 200 40 + 0.30 ( t − 200 ) if t > 200 Simplify the algebraic expression in the second line of the piecewise function for plan A. Then use point-plotting to graph the function.
Solution Summary: The author explains the simplified algebraic expression in the second line of function C(t)=l30,if 0le t
A telephone company offers the following plans. Also givenare the piecewise functions that model these plans. Use this information to solve Exercises 95-96.
Plan A.530 per month buys 120 minutes.
• Additional time costs SO.30 per minute.
C
(
t
)
=
{
30
if
0
≤
t
≤
120
30
+
0.30
(
t
−
120
)
if
t
>
120
Plan B
•$40 per month buys 200 minutes.
• Additional time costs $0.30per minute.
C
(
t
)
=
{
40
if
0
≤
t
≤
200
40
+
0.30
(
t
−
200
)
if
t
>
200
Simplify the algebraic expression in the second line of the piecewise function for plan A. Then use point-plotting to graph the function.
Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.
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Determine if the values of the variables listed are solutions of the system of equations.
2x - y = 4
3x+5y= - 6
x=1, y = 2; (1,-2)
Is (1, 2) a solution of the system of equations?
L
No
Yes
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10. A sound wave's amplitude can be modeled by the function y = −7 sin ((x-1) + 4). Within the interval 0 < x < 12, when does the function have an amplitude
of 4? (Select all that apply.)
9.522 seconds
4.199 seconds
0.522 seconds
1.199 seconds
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