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the table show the total cost to be a member of the gym for different numbers of months.number of months. total costs3. $53.976. $77.9412. $125.88create a function that gives the total cost C,in dollars to be a member of the gym given the number of months M of member ship.

the table show the total cost to be a member of the gym for different numbers of months-example-1
User Asaf Mesika
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1 Answer

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The table shows the total cost to be a member of the gym for different numbers of months.



Number of months. total costs

3. $53.97

6. $77.94

12. $125.88



Create a function that gives the total cost C, in dollars to be a member of the gym given the number of months M of membership.

_____________________________________

Total cost = M* (factor per month ) + b

_____________________________________

The expression for a linear equation is

*The slope-intercept form.

y = mx + b

m= (y2-y1)/ (x2-x1) (I)

y-intercept is (0, b)

*and the point-slope form

y- y1 = m(x-x1) (II)

________________________

Point 1 (3, 53.97)

Point 2 (12, 125.88)

Replacing in (II)

The slope m = (y2- y1)/ (x2-x1) = (125.88- 53.97)/(12-3) = 7.99

y - 53.97 = 7.99* (x- 3)

y = 7.99 x - 7.99* 3 + 53.97

y = 7.99x + 30

____________________

Verifying

y = 7.99x + 30

x= 3

y = 7.99*3 + 30

y= 53.97

x= 6

y = 7.99*6 + 30

y= 77.94

x= 12

y = 7.99*12 + 30

y= 125.88

_________________________

Answer

The linear function is y = 7.99x + 30

the table show the total cost to be a member of the gym for different numbers of months-example-1
User Bikal Basnet
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