Question

es are alwaysen usingin Katya's car, the number of miles driven is proportional to the number of gallons of gas used. Find the missingvalue in the tableNumber of Gallons0Number of Miles Driven40112616822410280u knowca.Write an equation that will relate the number of miles driven to the number of gallons of gas.bWhat is the constant of proportionality?How many miles could Katya go if she filled her 22-gallon tank?d.if Katya takes a trip of 600 miles, how many gallons of gas would be needed to make the trip?if Katya drives 224 miles during one week of commuting to school and work, how many gallons of gas wouldshe use?e

Answer 1

Ans

a)28x=y

b) 616 miles 28 constant of proportionality

d) 21. 42 gallons approximately

8 gallons

1) Gathering the data

Gallons Miles

0 0

4 112

6 168

8 224

10 280

a) This is a linear function/equation since the growth in gallons is arithmetic for every 2 gallons plus, there's an increase by 56 miles. When the car is not still.

So we can write 28x=y

Ex

28(4) =112

28(6)=168

28(8)=224

and so on...

b) The constant of proportionality is 28 for 112/4 = 28

If Katya fills her 22-gallon tank she could drive: 28 (22)= 616 miles

d) 600 = 28x

x =21.42 gallons approximately to drive 600 miles.

224 miles according to the table is 8 gallons, since 28 * 8 = 224