Question

Clair recorded the number of blooms on her rose bush. In 4 days, she had 5 blooms, and in 8 days, she had 6 blooms. Fill in the missing information to find the rate of change and the initial value.

Characteristic

Calculation

1

Formula used to find the rate of change, m

Select Answer

2

Rate of change

Select Answer

3

Plugging values ​​into the slope-intercept form, y = mx + b, to solve for the initial value, b

6 = 4(8) + b

4

Initial value

Answer 1

1. Formula used to find the rate of change, m:
m = (y2 − y1) / (x2 − x1)

2. Rate of change:
m = (6 − 5) / (8 − 4) = 1/4 bloom per day

3. Plugging values into y = mx + b to solve for b:
6 = (1/4)(8) + b → 6 = 2 + b → b = 4

4. Initial value:
4 blooms (at day 0)