Question

at the beginning of spring, kaj planted a small sunflower in her backyard. when it was first planted, the sunflower was 10 inches tall. the sunflower then began to grow at a rate of 0.5 inches per week. how tall would the sunflower be after 7 weeks? how tall would the sunflower be after w weeks?

answer attempt 1 out of 2

height after 7 weeks:

height after w weeks:

Explanation:

Step1: Define growth formula structure

The height is initial height plus growth over weeks: $H = H_0 + r \times t$, where $H_0=10$, $r=0.5$

Step2: Calculate height at 7 weeks

Substitute $t=7$ into the formula:
$H = 10 + 0.5 \times 7$
$H = 10 + 3.5 = 13.5$

Step3: Generalize for w weeks

Substitute $t=w$ into the formula:
$H = 10 + 0.5w$

Answer:

Height after 7 weeks: 13.5 inches
Height after $w$ weeks: $10 + 0.5w$ inches