Answer:
For 10 pounds of tomatoes 6.25 i.e. [tex]6\frac{1}{4}[/tex] cups of onions required.
Step-by-step explanation:
Corey's salsa recipe calls for [tex]2\frac{1}{2}[/tex] cups of onions for every 4 pounds of tomatoes.
If the amount of onions is represented by y in cups and the amount of tomatoes by x in pounds, then the proportional relation between x and y is
y = kx ............. (1)
{Where, amount of tomatoes is the independent variable and amount of onions is the dependent variable}
Now, putting x = 4 pounds and y = [tex]2\frac{1}{2}[/tex] i.e. 2.5 cups, we get from equation (1) as
2.5 = 4k
⇒ k = 0.625
Now, the equation becomes, y = 0.625x ........ (2)
Now, from equation (2) for, x = 10 pounds, y = 0.625 × 10 = 6.25 cups.
Therefore, for 10 pounds of tomatoes 6.25 i.e. [tex]6\frac{1}{4}[/tex] cups of onions required. (Answer)
