The t a b l e represents the time it took Bill to complete sets of math problems which equation represents this relationship time and minutes 30 40 50 60 number of problems and set 36 48 60 72

Answer 1

To represent the relationship between time and the number of problems, we can use the equation y = mx + b, where y represents the time (in minutes), x represents the number of problems, m represents the slope of the line, and b represents the y-intercept.

Let's find the slope (m). We can use any two points from the table to calculate it.

Using the points (30, 36) and (40, 48):

m = (48 - 36) / (40 - 30)
m = 12 / 10
m = 1.2

Now let's find the y-intercept (b). We can use the point (30, 36) and substitute it into the equation:

36 = 1.2(30) + b
36 = 36 + b
b = 0

Therefore, the equation that represents the relationship between time and the number of problems is:

y = 1.2x