Final answer:
The vine's height increased by 15 inches over 3 months, from March to June. By dividing the change in height (15 inches) by the number of months (3), we find that the vine is growing at a rate of 5 inches per month.
Step-by-step explanation:
To calculate the rate of change of the vine's height, we subtract the initial height in March from the final height in June, and then divide by the number of months that have passed. The vine was 62 inches tall in March and 77 inches tall in June, which is a period of 3 months (March to June).
The rate of change is calculated as follows:
- Change in height = Final height - Initial height
- Change in height = 77 inches - 62 inches
- Change in height = 15 inches
Now, we divide the change in height by the number of months to find the rate of change per month:
- Rate of change per month = Change in height / Number of months
- Rate of change per month = 15 inches / 3 months
- Rate of change per month = 5 inches/month
So, the vine is growing at a rate of 5 inches per month between March and June.