Question

Directions - Find the rate of change (slope) from table below.
​Candy Bars (x) Cost (y)​
​4 ​8
​9 ​18
​14 ​28

Answer 1

To find the rate of change (slope), we need to determine how much the cost (y) increases for each additional candy bar (x).

Using the values from the table:
For the first row, when x = 4, y = 8.
For the second row, when x = 9, y = 18.

To find the change in y, we subtract the initial value of y from the final value of y: 18 - 8 = 10.

To find the change in x, we subtract the initial value of x from the final value of x: 9 - 4 = 5.

Now we can calculate the rate of change (slope) by dividing the change in y by the change in x: 10 ÷ 5 = 2.

Therefore, the rate of change (slope) is 2. This means that for every additional candy bar, the cost increases by $2.