Question

the chart shows the number of miles Zac has driven his car at the end of three years, four years, and five years. if this pattern continues, how many miles would Zack has driven his car at the end of six years?

Answer 1

First, calculate the change in the total miles from year 3 to year 4 by substracting the total amount of miles in year 3 from the total amount of miles in year 4:

`47,600-35,700=11,900`

Calculate the change from year 4 to 5 using a similar method:

`59,500-47,600=11,900`

Notice that there is a common difference of 11,900 miles per year. This means that, if the pattern continues, on year 6 Zac will drive another 11,900 miles. Add 11.900 to the mile count of year 5 to find what the mile count for year 6 will be:

`\text{Year 6}\rightarrow59,500+11,900=71,400`

Therefore, at the end of six year, Zac has driven his car 71,400 miles.