Question

A scientist found that the height of a mountain increased by approximately 5xx10⁻⁴ meters eac month. If this rate of change continues, by how many meters will the height of the mountain increase in

Answer 1

The increase in height of the mountain in one year, given a monthly growth rate of 5×10−4 meters, is 0.006 meters or 6 millimeters.

Step-by-step explanation:

To find the total increase in height of the mountain over a given period, we need to multiply the monthly growth rate by the number of months. The growth rate is given as 5×10−4 meters per month. If we are considering a particular span of time, such as a year (which has 12 months), we would calculate the total increase as follows:

• Multiply the growth rate (5×10−4 meters) by the number of months (12).

This will give us:

• 5×10−4 meters/month × 12 months = 6×10−3 meters/year

So the mountain will grow by 0.006 meters, or 6 millimeters, in one year if the rate of growth continues.