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 answers to this assessment review:
1. 4
2. 5
3. 21
4. 9
5. 6
The answers to the actual quick check:
1. D
2. 3/2, 3
3. Greg
4. D
5. B
Wrong, it's 4.
wrong the anwser is 4
Apologies for the incorrect response. Let's reassess the situation.
If Nigel paid $10 for 212 pounds of roast beef, we can determine the cost per pound by dividing the total cost by the weight:
Cost per pound = Total cost / Weight
Cost per pound = $10 / 212 pounds
Cost per pound ≈ $0.0471698
Therefore, the equation for the graph of this proportional relationship is:
Cost = $0.0471698 x Weight
Simplifying, we can round it to:
Cost = $0.05 x Weight
Sorry for the confusion earlier. The correct equation for the graph of this proportional relationship is:
Cost = $0.05 x Weight.
To find the equation for the graph of this proportional relationship, we need to determine the constant of proportionality.
The cost of deli meat is directly proportional to its weight. So, we can use the formula:
Cost = constant × weight
Let's denote the constant of proportionality as "k".
In this case, we know that Nigel paid $10 for 212 pounds of roast beef. We can use this information to find the value of the constant "k".
$10 = k × 212
To solve for "k", we divide both sides of the equation by 212:
$10/212 = k
Simplifying the right side, we have:
$0.0471698 = k
Now, we can substitute the value of "k" into our equation to get the final equation for the graph:
Cost = $0.0471698 × weight
what is this?
THANK YOU SO MUCH @idek I GOT 100%
To find the equation for the graph of this proportional relationship, we'll use the formula for a proportional relationship, which is y = kx.
In this case, y represents the cost of deli meat, and x represents the weight of the meat. The problem states that Nigel paid $10 for 212 pounds of roast beef.
We can substitute these values into the equation:
10 = k * 212
To solve for k, we divide both sides of the equation by 212:
k = 10 / 212
Now we have determined the value of k, which is the constant of proportionality. We can substitute this value back into the equation:
y = (10 / 212) * x
Simplifying further, we have:
y = 0.0471698x
Therefore, the equation for the graph of this proportional relationship is y = 0.0471698x.
To determine the equation for the graph of this proportional relationship, we need to find the constant of proportionality, which represents the cost per pound of roast beef.
Let's call the cost per pound of roast beef "c". Then, the equation representing this proportional relationship is:
Cost = (Cost per pound) x (Weight)
In this case, the cost is $10, and the weight is 212 pounds. Therefore, we can write the equation as:
10 = c x 212
Dividing both sides by 212, we have:
10/212 = c
Therefore, the equation for the graph of this proportional relationship is:
Cost = (10/212) x Weight
Or rearranging:
Cost = (0.04716981132) x Weight
So, the equation for the graph of this proportional relationship is:
Cost = 0.04716981132 x Weight