Question

rainà is picking apples at a local apple orchard. the orchard charges a fee for the container plus an additional fee based on the weight of the apples picked. the table below shows the linear relationship between the weight of the apples x (in kilograms) and the total cost y (in dollars).
weight (kilograms) 0 1 2 3
total cost (dollars) 5 9 13 17
write a linear equation to represent the relationship between x and y.

Explanation:

Step1: Identify y-intercept (b)

When $x=0$, $y=5$, so $b=5$.

Step2: Calculate slope (m)

Use two points, e.g., $(0,5)$ and $(1,9)$:
$$m=\frac{9-5}{1-0}=4$$

Step3: Write linear equation

Substitute $m=4$ and $b=5$ into $y=mx+b$.

Answer:

$y=4x+5$