Answer:
a. i) Please refer to the attached graph representing the equation $10·x + $12·y = $300
ii) The intercepts indicate the maximum number of short-sleeve (at the x-intercept) and long-sleeve shirts (at the y-intercept) that can be ordered.
Step-by-step explanation:
The details provided are as follows:
Cost of each short-sleeve shirt = $10
Cost of each long-sleeve shirt = $12
Total budget available = $300
The equation for total spending is given by $10·x + $12·y = $300
Where;
x = Number of short-sleeved shirts
y = Number of long-sleeved shirts
Rearranging the equation into slope-intercept form, we have:
$10·x + $12·y = $300
$12·y = $300 - $10·x
y = $300/$12 - $10·x/$12
y = 25 - 5/6·x
Attached is the graph produced using Microsoft Excel
The coordinates that can be used for graph plotting are as follows:
x, y
(0, 25)
(5, 20.83)
(10, 16.67)
(15, 12.5)
(20, 8.33)
(25, 4.17)
(30, 0)
The x-intercept denotes the quantity of short-sleeve shirts purchasable with a $300 budget, while the y-intercept signifies the quantity of long-sleeve shirts achievable under the same budget.
