The maximum number of supply boxes she can pack in the crate is 300, if supply box is 1.5 feet tall, 1 foot wide, and 2 feet deep. The crate is 9 feet high, 10 feet wide, and 10 feet deep.
Step-by-step explanation:
The given is,
Dimensions of supply box - 1.5 feet tall, 1 foot wide, and 2 feet deep
Dimensions of crate - 9 feet high, 10 feet wide, and 10 feet deep
Step:1
Volume of supply box,
.............................(1)
Where, w - Width of box
h - Height of box
l - Length of box
From the given,
h = 1.5 feet
w = 1 foot
l = 2 feet
Equation (1) becomes,

= 3 cubic feet

Step:2
Volume of crate,
.............................(1)
Where, w - Width of box
h - Height of box
l - Length of box
From the given,
h = 9 feet
w = 10 foot
l = 10 feet
Equation (1) becomes,

= 900 cubic feet

Step:3
No. of boxes can pack in the crate,
= 
= 
= 300 supply boxes
Result:
The maximum number of supply boxes she can pack in the crate is 300, if supply box is 1.5 feet tall, 1 foot wide, and 2 feet deep. The crate is 9 feet high, 10 feet wide, and 10 feet deep.
<h2><u>Problem Solving</u>:-</h2>
2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.
<h2><u>Solution</u>:-</h2>
Since the distance d varies directly as the time t, then d = kt.
Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.




<h2><u>Answer</u>:-</h2>
- Therefore, the constant of variation is 10.
Assuming this is written correctly, with no x in the equation, we just solve for y:
y = -3 - 1/3 = -10/3 = 0 x - 10/3
That's slope-intercept form.
Answer: Slope 0, y-intercept -10/3