Question

At the beginning of spring, Kylie 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 1 inch per week. How tall would the sunflower be after 5 weeks? How tall would the sunflower be after � w weeks?

Answer 1

After 5 weeks, the sunflower would be 15 inches tall. This is because the sunflower grows at a rate of 1 inch per week, so after 5 weeks, it would have grown 5 inches (1 inch per week x 5 weeks) in addition to its initial height of 10 inches.

After 2.5 weeks (which is equivalent to 5/2 weeks or 5 ÷ 2 weeks), the sunflower would be 12.5 inches tall. This is because the sunflower grows at a rate of 1 inch per week, so after 2.5 weeks, it would have grown 2.5 inches (1 inch per week x 2.5 weeks) in addition to its initial height of 10 inches.

Answer 2

The height of the sunflower can be calculated using the formula:

Height = Initial height + Growth rate * Time

In this case, the initial height is 10 inches, the growth rate is 1 inch per week, and the time is the number of weeks.

1. After 5 weeks, the height of the sunflower would be:

Height = 10 inches + 1 inch/week * 5 weeks

2. After
`\( w \)` weeks, the height of the sunflower would be:

Height = 10 inches + 1 inch/week *
`\( w \)` weeks

Let's calculate these.

After 5 weeks, the sunflower would be 15 inches tall.

For
`\( w \)` weeks, the height of the sunflower would be:

Height = 10 inches + 1 inch/week *
`\( w \)` weeks

This simplifies to:

Height = 10 inches +
`\( w \)` inches

So, after
`\( w \)` weeks, the sunflower would be
`\( 10 + w \)` inches tall.