Solution:
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 [tex] 3x + 4y = 12. [/tex]
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
[tex] 3*0 + 4y = 12. [/tex]
[tex] 0 + 4y = 12. [/tex]
[tex] 4y = 12. [/tex]
Divide both the sides by 4 we get
[tex] y = 3 [/tex]
Hence the y-intercept is 3.
