Aschool cafeteria makes cheese sauce for macaroni using 15 cups of swiss cheese 17 cups of cheddar cheese. perry tries to make the sauce for a family party using 5 cups of swiss cheese and 7 cups of cheddar cheese. is perry using the correct ratio? explain. (pls do explain. it's on my school work and i need an explanation.)

(middle school ratios)

For this case we have that by definition, it is known as proportion to the relationship of equality that exists between two reasons, that is, between two comparisons. That is: if is a ratio, then the equality will be a proportion.

Then, 15 cups of Swiss cheese for every 17 cheddar:

1

We want to verify the proportion:

Equality is not met!

You are not using the correct proportion

what's that

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.