Question

Shaneese is buying peanuts and cashews. she has $12 to spend. peanuts cost $3 per pound and cashews cost $4 per pound. if she buys x pounds of peanuts and y pounds of cashews, then the equation that represents the amount of each is 3x + 4y = 12. what is the y-intercept?

Answer 1

We are given that

Shaneese is buying peanuts and cashews.

he has $12 to spend.

peanuts cost $3 per pound and cashews cost $4 per pound.

she buys x pounds of peanuts and y pounds of cashews.

The equation that represents the amount of each is
`3x + 4y = 12.`

Now we have been asked to find the y-intercept.

To find the y-intercept , we need to set x=0

when x=0, equation becomes

`3*0 + 4y = 12.`

`0 + 4y = 12.`

`4y = 12.`

Divide both the sides by 4 we get

`y = 3`

Hence the y-intercept is 3.