Question

the graph shows the number of quarts picked the graph shows the number of quarts picked and amount of money paid by different customers ​

Answer 1

Explanation:

Part A

Since, line shown in the graph passes through origin (0, 0), relation between number of quarts picked (Q) and amount of money paid (M) will be proportional.

M ∝ Q

M = kQ [k = proportionality constant]

k = Slope of the line =
`(y_2-y_1)/(x_2-x_1)`

Since, line passes through two points (1, 3.5) and (2, 7),

k =
`(7-3.5)/(2-1)` = 3.5

Therefore, M = 3.5Q

This relation states that "For each number of quarts picked, $3.5 is to be paid"

Part B

Equation that represents the proportional relation,

y = 3.5x

Or Amount of money paid = 3.5(Number of quarts picked)