It is understood that
A direct variation exists between two variables, x and y, if it can be represented as

In this particular scenario
Define
x--------> the count of cans
y-------> the expense of a soup
therefore
when

substituting

the resulting equation is

by utilizing a graphing tool
refer to the figure attached
the solution is depicted in the attached figure
Your solution is rated at 4:141
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Answer: $434, 306.4
Step-by-step explanation:
From the information provided,
P= $163,000
R= 14% ; 14/100= 0.14
T=7 years
Using the formula,
A= Pr e^t
A= 163000*e^(0.14*7)
= 163000*e^(0.98)
= $434,306.4
Complete question:
Benjamin treats himself to breakfast at his go-to restaurant. He orders chocolate milk priced at \$3.25$3.25dollar sign, 3, point, 25. Next, he aims to purchase as many pancake stacks as possible while keeping his total at or below \$30$30dollar sign, 30 prior to tax. Pancakes are sold in stacks of 4 at \$5.50$5.50dollar sign, 5, point, 50. Let SSS denote the number of pancake stacks purchased by Benjamin. 1) What inequality represents this situation?
Answer:
Refer to the explanation below.
Step-by-step explanation:
Information provided:
Chocolate milk costs = $3.25
Price of pancake stack = $5.50 (for 4 pancakes)
Pancake stacks bought = S
Maximum spending ≤ $30
Chocolate milk cost + (Cost per pancake stack × number of stacks) ≤ $30
3.25 + 5.50S ≤ 30
5.50S ≤ 30 - 3.25
5.50S ≤ 26.75
S ≤ 26.75 / 5.50
S ≤ 4.86
Therefore, the maximum number of pancake stacks he can buy without going over budget is 4.
Thus, total pancakes = stacks × pancakes per stack
= 4 × 4
= 16
The illustration is omitted. Please see the attachment below.
Answer:
The area of the shaded sector is 144π square units.
Step-by-step breakdown:
Given:
The central angle for the sector is, 
The circle's radius is, 
The area of a sector with radius 'R' and angle
can be determined with:

Substituting
gives

Thus, the area of the shaded sector calculates to 144π square units.