Question

(a): How many miles does the train travel per gallon? (b):What is the slope of the graph?

Answer 1

since the graph has direct variation as data in x axis increases y also increases.

so we need to find how many miles travelled per galloon .

we distance travelled per gallon =total distance travelled/galoons of fuel used.

$Distance travelled per gallon=200 miles/400 gallons=0.5 litres travelled per gallon$

for part b) slope=rise/run

$m=(y2-y1)/(x2-x1)$

$y2=400 y1=0 x1=0 x2=200$

$m=(400-0)/(200-0)=2$

slope of the graph is 2