The table of values below represents a linear function and shows the amount of money in a tip jar at a dry cleaners since the dry cleaners opened for the day. how much was in the tip jar when the dry cleaners opened?

A linear equation has a standard form of:

y = mx + b

where in this case,

y = amount of money in tip jar, m = slope, x = number of hours, b = y intercept

We select any two paired data to calculate for the slope:

m = (y2 – y1) / (x2 – x1)

m = (18.25 – 15.50) / (5 – 4)

m = 2.75

y = 2.75x + b

Choosing any one data pair to calculate for b the y-intercept:

15.50 = 2.75 (4) + b

b = 4.5

Therefore there was $4.50 in the tip jar during the opening.

$4.50

111

step-by-step explanation: