Brianna walks at a steady rate of 3.5 miles per hour. Write a direct proportion equation based on this statement. Identify all variables and the constant of proportionality. Explain what the constant of proportionality means in this situation

Step-by-step explanation:

Based on the information provided we can create the following direct proportion equation...

D = 3.5x

In this equation, the variable D represents the distance that Brianna has walked while the variable x represents the number of hours she walked. In this equation, the constant of proportionality would be the 3.5 miles that Brianna walks per mile. This value affects the entire equation because it is multiplied by the number of hours Brianna walks which is directly proportional to the Distance she travels, as one value increases so does the other.

Give four different set of measurements that could be the dimension of the box are:

(l, w, h) = (2 , 15 , 2) feet and (2, 6, 5) feet and (2, 10, 3) feet and (3, 5, 4) feet

Solution:

Given that,

A card board box has a volume of 60 cubic feet

Cardboard box is of shape rectangular prism

The volume of rectangular prism is given as:

Where,

l is the length

w is the width

h is the height

From given,

v = 60 cubic feet

Give four different set of measurements that could be the dimension of the box:

Put l = 2 ; w = 15 ; h = 2

Then,

60 = 2 x 15 x 2

60 = 60

Put l = 2 ; w = 6 ; h = 5

60 = 2 x 6 x 5

60 = 60

Put l = 2 ; w = 10 ; h = 3

60 = 2 x 10 x 3

60 = 60

Put l = 3 ; w = 5 ; h = 4

60 = 3 x 5 x 4

60 = 60

Thus, give four different set of measurements that could be the dimension of the box are:

(l, w, h) = (2 , 15 , 2) feet and (2, 6, 5) feet and (2, 10, 3) feet and (3, 5, 4) feet