A car can travel 300 miles on 10 gallons of gas. The ratio is 300 miles to 10 gallons. Write the ratio given in the problem. Divide both quantities in the ratio by the second quantity in the ratio and write the new ratio. What is this ratio called? Explain.

The new ratio is 30 miles : 1 gallon it called the unit rate

Step-by-step explanation:

* Lets explain what is the unit rate

- A unit rate describes how many units of the first type of quantity

equal to one unit of the second type of quantity

- Ex: 3 miles per hour

$100 per day

15 students per class

- A unit rate is a rate with 1 in the denominator

- Ex: $20 for 5 pens, the rate is 20 : 5 divide the two terms by the

denominator 5, then 20 : 5 = 4 : 1 then unit rate is $4 per pen

* Lets solve the problem

- A car can travel 300 miles on 10 gallons of gas

∴ The rate is 300 miles per 10 gallons

- To find the unit rate divide the two terms of the rate by 10

∴ 300 : 10 = 300/10 : 10/10

∴ 300 : 10 = 30 : 1

∴ The unit rate is 30 miles per gallon

* The new ratio is 30 miles : 1 gallon it called the unit rate