Question

The number of miles driven this month was a 30% decrease of the number of miles driven last month

Answer 1

The number of miles driven this month is 0.7 times miles driven last month .

Explanation:

Given statement as :

The number of miles driven this month was a 30% decrease of the number of miles driven last month

Let The number of miles drives last month = L miles

And The number of miles drives this month = P miles

The rate of decrease in the number of miles from last months to this month = 30 %

The time period = 1 months

Now, according to question

The number of miles drives present month = The number of miles drives last month ×
`(1-(\textrm rate)/(100))^(\textrm time)`

Or, P miles = L miles ×
`(1-(\textrm 30)/(100))^(\textrm 1)`

Or, P miles = L miles ×
`(100-30)/(100)`

Or, P miles = L miles ×
`(70)/(100)`

∴ P = L × 0.7 months

So, This month = 0.7 times last month

Hence The number of miles driven this month is 0.7 times miles driven last month . Answer