At a deli counter in the supermarket, Nigel paid $10 for 2 1-2 pounds of roast beef . The cost of deli meat is proportional to it's weight. What is the equation for the graph of this proportional relationship? Y= x
The equation for the graph of this proportional relationship is Y = 4x.
To find the equation for the graph of this proportional relationship, let's break down the given information:
Nigel paid $10 for 2.5 pounds (2 1/2 pounds) of roast beef.
The cost of deli meat is proportional to its weight.
Let's represent the weight of the deli meat as 'x' pounds and the cost as 'y' dollars.
From the given information, we can deduce:
When x = 2.5 pounds, y = $10.
To find the equation, we will use the formula for a proportional relationship:
y = kx
where 'k' represents the constant of proportionality.
Now, we can substitute the values:
10 = k * 2.5
Divide both sides by 2.5:
k = 10/2.5 = 4
Therefore, the equation for the graph of this proportional relationship is:
y = 4x
To find the equation for the graph of this proportional relationship, we need to determine the constant of proportionality.
In this case, we know that Nigel paid $10 for 2 1-2 pounds of roast beef. We can set up a proportion to find the cost of deli meat per pound.
Let's let x represent the weight of the deli meat in pounds, and y represent the cost of the deli meat in dollars.
We can set up the proportion as follows:
x pounds / $10 = 2 1/2 pounds / y dollars
Simplifying, we get:
x / 10 = 2.5 / y
To find the equation in slope-intercept form (y = mx + b), we need to isolate y. Multiplying both sides of the equation by y and 10, we get:
xy = 25
So, the equation for the graph of this proportional relationship is:
y = 25 / x