Question

4 The number of laps Jessica runs around the track is proportional to the time she

Answer 1

Answer:

A. 24 lap/hour.

B. r = 24h

Step-by-step explanation:

Let r be the number laps.

Let h be the time.

From the question given above, the number of laps (r) Jessica runs around the track is proportional to the time (h) she spend running. This can be written as:

r & h

r = Kh

Where:

r is the number of laps.

K is the constant of proportionality.

h is the time.

A. Determination of the constant of proportionality.

With the above formula, we can calculate the value of the constant of proportionality, K as follow:

Number of laps (r) = 12 laps

Time (h) = ½ hour

Constant of proportionality (K) =.?

r = Kh

12 = K × ½

12 = K/2

Cross multiply

K = 12 × 2

K = 24 lap/hour

Therefore, constant of proportionality is

24 lap/hour.

B. Equation for relationship between the number of lap and time. This is illustrated below:

r = Kh

K = 24

r = 24h

Therefore, the equation for relationship between the number of lap and time is r = 24h