Question

He table shows a proportional relationship between the distance a snail travels and the time it takes. What is the proportionality constant in centimeters per minute?
Time (minutes) Distance (cm)
5 27.5
12 66
15 82.5

5.5

15

55

135.5

Answer 1

5.5 c/m. Doesn't it feel good to have calculators near you?

Answer 2

Answer:

5.5cm/mins

Step-by-step explanation:

According to the table, it can be inferred that distance travelled by the snail is directly proportional to the time taken.

Let x be the distance travelled by the snail and y be the time taken.

Mathematically, x ∝ y

x = ky where k is the proportionality constant.

k = x/y

x1/y1 = x2/y2 = k

If x1 = 27.5, y1 = 5

If x2 = 66, y2 = 12

Substituting this values we have:

27.5/5 = 66/12 = 5.5

This shows that the proportionality constant is 5.5cm/min