Question

Luis includes sit ups and push ups as part of his training for the race. This graph shows his plan for increasing the number of sit ups and push ups he does each week. Write an equation that can be used to find the number of sit ups, y, luis will do during week x.

Answer 1

y = 10x

Explanation:

y = number of sit-ups

x = number of weeks

Equation of that can be used to find the number of sit-ups can be generated using the graph in the slope-intercept form, y = mx + b. Where, slope = m, and y-intercept is b.

Let's find slope using two points on the blue line, (0, 0) and (3, 30):

Slope (m) = change in y/change in x

m = (30 - 0)/(3 - 0)

m = 30/3

m = 10

b = 0 (the point where the line intercepts the y-axis)

✔️To write the equation, substitute m = 10 and b = 0, into y = mx + b

y = 10x + 0

y = 10x