Question

an international food festival charges for admission and for each sample of food admission and 4 samples cost $8.75 admission and 9 samples cost $13.75 write a linear function rule to model the cost t for any number of samples x

Answer 1

t = x +4.75

Explanation:

You want the linear function rule relating t to x, given (x, t) = (4, 8.75) and (9, 13.75).

Slope

The slope of the function can be found using the slope formula:

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

m = (13.75 -8.75)/(9 -4) = 5.00/5 = 1.00

Intercept

The y-intercept of the function can be found from ...

b = y -mx

b = 8.75 -(1.00)(4) = 4.75

Slope-intercept equation

The slope-intercept equation is of the form ...

y = mx +b

For m=1 and b=4.75, and using t instead of y, we have ...

t = x +4.75 . . . . linear function rule