Question

) Which ratios hiqve a unit rate greater than 1: 7 Choose ALL that apply. 1 >) 4 miles: 3- hours 33 1 3 mile : 2-hours 8 2 1 0) 2 miles : 3 hours 2 3 0) 7 miles : hour 4 13 9 miles : 3 hours 9 5 miles: hour 8 6

Answer 1

To calculate the ratio or the unit rate, we have to divide each ratio:

`\frac{4\text{ miles}}{3+(1)/(3)\text{ hours}}=(4)/((10)/(3))\frac{\text{ miles}}{\text{ hour}}=4\cdot(3)/(10)=(12)/(10)=1.2\frac{\text{ miles}}{\text{ hour}}`
`((1)/(3))/(2+(3)/(8))=((1)/(3))/((16+3)/(8))=((1)/(3))/((19)/(8))=(1)/(3)\cdot(8)/(19)=(8)/(57)\approx0.14\frac{\text{ miles}}{\text{ hour}}`
`(2+(1)/(2))/(3)=((5)/(2))/(3)=(5)/(2)\cdot(1)/(3)=(5)/(6)\approx0.83\frac{\text{ miles}}{\text{ hour}}`
`(7)/((3)/(4))=7\cdot(4)/(3)=(28)/(3)\approx9.33\frac{\text{ miles}}{\text{ hour}}`
`((9)/(5))/(3)=(9)/(5)\cdot(1)/(3)=(3)/(5)=0.6\frac{\text{ miles}}{\text{ hour}}`
`((9)/(8))/((5)/(6))=(9)/(8)\cdot(6)/(5)=(54)/(40)=1.35\frac{\text{ miles}}{\text{ hour}}`

Answer:

The ratios that are greater than 1 are:

4 miles : 3 1/3 hours

7 miles : 3/4 hour

9/8 miles : 5/6 hours