Question

at the deli counter in the supermarket, nigel paid $10 for 212 pounds of roast beef. the cost of deli meat is proportional to its weight. what is the equation for the graph of this proportional relationship?(1 point)

Answer 1

The equation for the graph of this proportional relationship is c = 0.0472w.

An equation describes a mathematical statement showing that two expressions are equal or equivalent.

An equation is depicted using the equals sign (=).

The total amount Nigel paid for pounds of roast beef = $10

The quantity of roast beef bought = 212 pounds

Let the total cost of the roast beef = c

Let the weight of the beef = w

Let the price per pound = k

C = kw

In this case k is the constant of proportionality, which we can compute by dividing the cost by the weight:

k = c/w

k = 10/212

≈ 0.0472 per pound

Thus, the equation for the graph of this proportional relationship is c = 0.0472w.