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:
The probability of drawing a red marble = 2/5. The probability of drawing a blue marble is now = 1/4.
Step-by-step explanation:
Answer:

Step-by-step explanation:
According to the given table, the variables have a linear relation, because there's a constant change involved.
Notice that p-variable increases by one unit, while q-variable increases by 10 units. That means the ratio of change is

Then, we use one pair of elements, like (3,30), and the point-slope formula to find the equations.

Therfore, the equation that represents the table is 
Answer:
6 feet 8 inches
Step-by-step explanation:
The mirror ensures that the line of sight makes similar triangles, so ...
x/10 = 4/6
x = 40/6 . . . . feet = 6 2/3 ft = 6 ft 8 in
The mirror is 6 feet 8 inches from the goal.
Answer:
Option 4:
is the correct answer.
Step-by-step explanation:
The given fractions are mixed fractions. the mixed fractions have to be converted into proper fractions before performing any operation like addition, subtraction etc.
Given fractions are:

Converting into proper fractions

Making the denominator same
We have to multiply first fraction by 3 and second by 6

Converting into mixed fraction: 
Hence,
Option 4:
is the correct answer.