Question

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

Answer 1

Let's denote the weight of the deli meat as x (in pounds), and the cost of the deli meat as y (in dollars).

We are given that Nigel paid $10 for 2 1/2 pounds of roast beef. We can convert this into a decimal by adding 2 and 1/2:
2 + 1/2 = 2 + 0.5 = 2.5

Now we can set up the equation for the proportional relationship:
y = kx

We know that when x = 2.5, y = 10. We can substitute these values into the equation to find the value of k:
10 = k * 2.5

Solving for k, we divide both sides by 2.5:
k = 10 / 2.5 = 4

Therefore, the equation for the graph of this proportional relationship is:
y = 4x