The monthly cost will be $17.14
Step-by-step explanation:
Given that the monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes) then this can be presented in a table form as;
<u>Time in minutes (x)</u> <u>Cost in dollars (y)</u>
50 $12.55
102 $ 17.23
Take the values as ordered pairs to represent coordinates for points that satisfy the linear function
(50,12.55) and (102,17.23)
Finding the slope of the graph using these points
slope,m=Δy/Δx
m=Δy=17.23-12.55 =4.68
Δx=102-50=52
m=4.68/52 =0.09
Finding the equation of the linear function using m=0.09, and point (50,12.55)
m=Δy/Δx
0.09=y-12.55/x-50
0.09(x-50)=y-12.55
0.09x-4.5=y-12.55
0.09x-4.5+12.55=y
y=0.09x+8.05
So for 101 minutes , the cost will be;
y=0.09*101 +8.05
y=9.09+8.05 = $17.14
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Linear functions : brainly.com/question/11052356
Keyword : linear function
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32x + 53 = 501
-53 - 53
<u>32x</u> = <u>448</u>
32 32
x = 14
Answer:
-974.765
Step-by-step explanation:
1.235 -976. Try to get a calculator if that helps!:)
Answer:
Step-by-step explanation:
slant height is given. Using Pythagorean theorem to find height.
h² = 10² - 5²
= 100 - 25
h² = 75
h = √75
h = 8.66 cm
Volume =(1/3)πr²h
= 226.62 cubic cm
