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
The equation for the graph of this proportional relationship can be expressed as:
Cost of deli meat = (Cost per pound) * Weight of deli meat
Let's denote the cost per pound as 'c' and the weight of deli meat as 'w'.
Therefore, the equation for the graph of this proportional relationship is:
Cost of deli meat = c * w
To find the equation for the graph of this proportional relationship, we need to determine the constant of proportionality (k) which relates the cost of the deli meat to its weight.
Let's use the known information: Nigel paid $10 for 212 pounds of roast beef. We can set up a proportion to find the constant of proportionality:
Cost / Weight = k
Plugging in the values we have:
$10 / 212 pounds = k
Calculating this:
0.0472 ≈ k
Therefore, the equation for the graph of this proportional relationship is:
Cost = 0.0472 * Weight
where Cost is in dollars and Weight is in pounds.
To find the equation for the graph of this proportional relationship, we need to determine the constant of proportionality.
First, let's define the cost of the deli meat as C, and the weight of the deli meat as W. We know that Nigel paid $10 for 212 pounds of roast beef.
From the given information, we can set up a proportion:
C/W = 10/212
To find the constant of proportionality, we can rearrange the equation as:
C = (10/212)W
Simplifying further, we can divide both sides of the equation by 1/212:
C = (10/212)(212/1)W
C = (10/1)W
Simplifying, we get:
C = 10W
Therefore, the equation for the graph of this proportional relationship is C = 10W.