Question

Bella drove 202 miles in 10 hours. Fill out a table of equivalent ratios and plot the points on t

coordinate axes provided

Answer 1

The completed table of equivalent ratios can be presented as follows;

Miles Hours

101 5

202 10

303 15

Please find attached the graph showing the plots of the points on the coordinate plane, created with MS Excel

What are equivalent ratios; Equivalent ratios are ratios that are direct multiple of each other, or the product of the elements of the base ratio and a number, such that they simplify to a specified ratio.

The ratio of the distance Bella drove to her duration travel can be presented as follows;

Rato = 202 : 10

The equivalent ratio where the distance Bella drove is 101 miles therefore is;
`(202)/(10) = (101)/(x)` where x is the duration Bella drove 101 miles

x × 202 = 10 × 101

x = 10 × 101/202

x = 5

The equivalent ratio to 202 : 10 at a distance traveled of 101 miles therefore is; 101 : 5

Similarly, when the duration of travel is 15 hours, we get;

`(202)/(10)= (Distance)/(15)`

Distance traveled is; (202/10) × 15 = 303

The equivalent ratio when Bella drives for 15 hours is therefore; 303 : 15

Please find the completed table of equivalent ratios above, showing the duration and distance Bella drove 101 miles and 15 hours respectively