Answer:
The cost of the 6 pounds of apples is $7.5 .
Step-by-step explanation:
As y = Total cost of the apple.
x = The number of pounds of apples purchased .
As given
If the total cost of apples, y, varies directly with the number of pounds of apples purchased, x.
i.e
[tex]y \propto x[/tex]
y = kx
Where k is the constant of proportionality .
As given
Four pounds of apples cost $5.
x = 4 , y = 5
Put in y = kx
5 = 4k
[tex]k = \frac{5}{4}[/tex]
k = 1.25
Eight pounds of apples cost $10.
x = 8 , y = 10
Put in y = kx
10 = 8k
[tex]k = \frac{10}{8}[/tex]
k = 1.25
Now find out the cost of 6 pounds of apples.
x = 6 and k = 1.25
Put in the y = kx
y = 6 × 1.25
y = $7.5
Therefore the cost of the 6 pounds of apples is $7.5 .
