Question

Boa drove from the Dead Sea up to Jerusalem and her altitude increased at a constant rate of 740 meters per hour. When she arrived in jerusalem after 1.5 hours of driving her altitude was 710 meters above sea level. Complete the equation for the relationship between altitude and the number of hours

Answer 1

`y=740x-400`

Explanation:

The story tells us that Boa drove from the Dead Sea up to Jerusalem. With the data provided, we can assume a linear relationship between altitude and the number of hours. We are given two key data: one point and the rate of change (or slope).

We can easily find the equation of a line with slope m passing through a point (a,b) by using the formula

`y-b=m(x-a)`

In this case, y is the altitude above sea level, and x is the number of hours of driving

The value of m is 740 meters/hour and the known point is x=1.5 hours, y=710 meters. Using these values

`y-710=740(x-1.5)`

`y-710=740x-1110`

`y=740x-400`