Question

The cost y (in dollars) for x ounces of peanuts is

represented by the equation y = 0.23x. The cost y
(in dollars) for x ounces of pecans is represented by
the equation y = 0.45x. Which statement is true?
Select all that apply.
A The cost for peanuts is $0.22 per ounce less than
the cost for pecans.
B The cost for peanuts is greater than the cost
for pecans.
C The cost for 8 ounces of peanuts is $3.60.
D The cost for 8 ounces of pecans is $3.60.​

Answer 1

Options A and D are correct.

Explanation:

The cost y (in dollars) for x ounces of peanuts is represented by the equation

`y=0.23x` .... (1)

It means the cost of each ounce of peanuts is $0.23.

The cost y (in dollars) for x ounces of pecans is represented by the equation

`y=0.45x` .... (2)

It means the cost of each ounce of pecans is $0.45.

$0.45 > $0.23

It means the cost for pecans is greater than the cost of peanuts. Option B is incorrect.

`\$0.45-\ $0.23=\$0.22`

The cost for peanuts is $0.22 per ounce less than the cost for pecans. Option A is correct.

Substitute x=8 in equation (1).

`y=0.23(8)=1.84`

The cost for 8 ounces of peanuts is $1.84. Option C is incorrect.

Substitute x=8 in equation (2).

`y=0.45(8)=3.6`

he cost for 8 ounces of pecans is $3.60.. Option D is correct.