Titus took 30 minutes to walk 2 miles at a constant rate. Let d represent the distance Titus walks, in miles, after t minutes. Here are your constants of proportionality from the previous screen: 15 and 15. Write two different equations to represent the
relationship between d and t.

If Titus walked 7.5 miles at this same rate, how many
minutes would it take?

H

Constant of proportionaility #1 2/30 = 1/15

Constant of proportionaility #2 d/t

1 distance divided by time

Relationship: equality

Reason: they all represent velocity and they tell us that velocity is constant.

15 and 1/15 (answer)

Steps:

Given

Time (t) = 30 minutes

distance (d) = 2 miles

To determine the first constant of proportionality

Let time be directly proportional to distance.

t = kd

Where k is the constant of proportionality

Make k the subject

k = t/d

Substitute values for t and d

k = 30/2

k = 15

To determine the second,

Let distance be directly proportional to time.

d = kt

Make k the subject

k = d/t

Substitute values for d and t

k = 2/30

k = 1/15

Hence, the constant of proportionality are

15 and 1/15

c. (3,2,6) is the answer.

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction