To solve this problem, we have to figure out a rule for the function. We are told that it is a two-step rule, so it is most likely the input multiplied by a coefficient plus a constant. Let’s let the input be represented by the variable x and the output be represented by the variable y. Using our knowledge, we can see that the outputs are close to triple the input, so we set up the preliminary equation:
y = 3x + b,
where b is a constant. If we want to solve for b, we must plug in one of our input/output pairs. If we plug in (5,16), we get the following:
16 = 3(5) + b
16 = 15 + b
1 = b
Then, we should substitute in this value into our equation and check our work.
y = 3x + 1
If we plug in the other points, this equation yields a true statement, so we know it is correct.
Hope this helps!
Answer:
Full proof below
Step-by-step explanation:
0.08
0.2
+
=
0.28 that’s how u work it out
To answer the item, we let x be the number of 2-point baskets and y be the 3-point basket, respectively. The system of linear equations that would allow us to express the given mathematically is,
x + y = 37
2x + 3y = 80
To determine the values of the variables, express x of the first equation in terms of y.
x = 37 - y
Substituting this to the second equation,
2(37 - y) + 3y = 80
The value of y from the equation is 6.
x = 37 - 6 = 31
<em>Answer: 31 two-point baskets</em>
True, because the dilation factor is less than one. This will result in the shape reducing.
