Question

The graph shows the relationship between the distance a bicyclist travels and the time in hours.

Answer 1

Explanation:

a). Point (x, y) from the graph represents,

x → Time in hours

y → Distance traveled by the bicyclist (in miles)

Therefore, point (4, 60) represents the distance 60 miles traveled by

the bicyclist in 4 hours.

b). Since, distance traveled (d) is proportional to the time taken(t).

d ∝ t

d = kt

k =
`(d)/(t)`

Here k = constant of proportionality.

k =
`(60)/(4)` = 15

c). Therefore, equation in the form of y = kx will be,

y = 15x