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Cost Equation for Buying Bananas, Exams of Cost Accounting

Three possible solutions to write an equation representing the cost of buying a certain amount of bananas based on the given cost per pound. The solutions involve determining the unit rate (k) from the table data and using it to write the equation y = kx.

Typology: Exams

2021/2022

Uploaded on 09/12/2022

cristelle
cristelle 🇺🇸

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Possible Solutions
The cost of bananas per pound is represented in the table below.
Pounds of Bananas
Cost ($)
2
2.50
3
3.75
5
6.25
7
8.75
Write an equation that represents the cost of buying
x
amount of bananas.
Possible Solution 1
In a proportional relationship problem,
k
is the unit rate. In this problem, the
amount paid for one pound of bananas is the unit rate. This number can be
determined by finding
, such as
or
, etc.
The unit rate is $1.25 per pound and represents the
k
in the equation
y = kx
.
The solution is
y = 1.25x
.
Possible Solution 2
You can use the table to determine the slope of the line represented in the
table. This value is
k
in the equation
y = kx
.
Since all the ratios simplify to 1.25 and the cost of 0 bananas is $0, the 1.25 is
the k in the equation.
The cost of bananas per pound is represented in the table below.
Pounds of
Bananas
Cost
($)
pf2

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Possible Solutions

The cost of bananas per pound is represented in the table below.

Pounds of Bananas Cost ($) 2 2. 3 3. 5 6. 7 8.

Write an equation that represents the cost of buyingx amount of bananas.

Possible Solution 1

 In a proportional relationship problem,k is the unit rate. In this problem, the

amount paid for one pound of bananas is the unit rate. This number can be determined by finding , such as or , etc.

 The unit rate is $1.25 per pound and represents thek in the equationy = kx.

 The solution isy = 1.25x.

Possible Solution 2

 You can use the table to determine the slope of the line represented in the

table. This value isk in the equationy = kx.

 Since all the ratios simplify to 1.25 and the cost of 0 bananas is $0, the 1.25 is the k in the equation.  The cost of bananas per pound is represented in the table below. Pounds of Bananas

Cost ($)

 Write an equation that represents the cost of buyingx amount of bananas.

y = 1.25x.

Possible Solution 3

 Graph the points on the table and determine the rate of change andy-

intercept of the graph to help write the equation for the data.  The graph starts at (0, 0) and has a rate of change of $1.25 per pound.

 The solution isy = 1.25x.

+1. +2. 50 +2. 50