Question

The graph shows the number of lawns Mark mowed over six weeks.

Answer 1

y = 20x

The graph passes through the origin , hence is of form

y = mx ( m is the slope )

to calculate m use the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁) = (2, 40) and (x₂, y₂) = (4, 80) ← 2 points on the graph

m =
`(80-40)/(4-2)` =
`(40)/(2)` = 20

y = 20x