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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5 0

3 years ago

On average, a commercial airplane burns about 3.9 × 10³ mL of gasoline per second. There can be as many as 5.1 × 10³ airplanes i

motikmotik

3.9 x 5.1 = 19.89

10^3 x 10^3 = 10^6

19.89 x 10^6

move decimal point

1.989 x 10^7

4 0

3 years ago

Use the Euclidean algorithm to find the greatest common divisor d of 313,626 and 152,346. Then use this algorithm to find intege

Marat540 [252]

313,626 = 2 * 152,346 + 8934

152,346 = 17 * 8,934 + 468

8,934 = 19 * 468 + 42

468 = 11 * 42 + 6

6 divides 42, so the GCD of 313,626 and 152,346 is 6.

4 0

3 years ago