Anthony, William, Christopher and Mathew are sharing 4 hats: red, green blue and gold. If Anthony doesn't wear red, william does
1 answer:
You might be interested in
Answer:
For 10 pounds of tomatoes 6.25 i.e. cups of onions required.
Step-by-step explanation:
Corey's salsa recipe calls for cups of onions for every 4 pounds of tomatoes.
If the amount of onions is represented by y in cups and the amount of tomatoes by x in pounds, then the proportional relation between x and y is
y = kx ............. (1)
{Where, amount of tomatoes is the independent variable and amount of onions is the dependent variable}
Now, putting x = 4 pounds and y = i.e. 2.5 cups, we get from equation (1) as
2.5 = 4k
⇒ k = 0.625
Now, the equation becomes, y = 0.625x ........ (2)
Now, from equation (2) for, x = 10 pounds, y = 0.625 × 10 = 6.25 cups.
Therefore, for 10 pounds of tomatoes 6.25 i.e. cups of onions required. (Answer)
The attached file is the points graphed.
So what is a linear function?
<span>If it is a linear function, its graph will be a straight line.
</span><span>It also must have either one or two variables. If there is another variable is, it must be a known variable or constant.
</span>
The points and the graph satisfy both of these things, so we know the answer is not B or D.
So, let's look at both answer choices.
<span>
A.It is a linear function because the input values are increasing.
C.</span><span>It is a linear function because there is a constant rate of change in both the input and output.
Well, according to our criteria, the input values don't need to be increasing for it to be linear. But, we do know that there must be a constant rate of change in both the input and output.
So, the answer is C. </span>It is a linear function because there is a constant rate of change in both the input and output.<span>
</span>
So what is a linear function?
<span>If it is a linear function, its graph will be a straight line.
</span><span>It also must have either one or two variables. If there is another variable is, it must be a known variable or constant.
</span>
The points and the graph satisfy both of these things, so we know the answer is not B or D.
So, let's look at both answer choices.
<span>
A.It is a linear function because the input values are increasing.
C.</span><span>It is a linear function because there is a constant rate of change in both the input and output.
Well, according to our criteria, the input values don't need to be increasing for it to be linear. But, we do know that there must be a constant rate of change in both the input and output.
So, the answer is C. </span>It is a linear function because there is a constant rate of change in both the input and output.<span>
</span>