15 questions
25/100=1/4
1/4 = x/20
1*20=20
20/4 = 5
20-5= 15
Answer:
1.7059
Step-by-step explanation:

<h3>
Answer:</h3>
m= 15
b= 45
y= 15x +45
<h3>
Concept:</h3>
<u>Overall equation</u>
The equation of a line in slope-intercept form is given by y= mx +b, where m is the slope and b is the y-intercept.
<u>Slope, m</u>
The slope is the measure of how steep the line is. It also defines how the y-axis changes with respect to the x-axis. The formula for finding slope is as shown below.
where
is the first coordinate and
is the second coordinate
<u>y-intercept, b</u>
This is the y-value in which the line cuts through the y-axis (vertical axis).
<h3>Working:</h3>
<u>Slope, m</u>
Let's identify two pairs of coordinates on the line.
2 square units on the y-axis represent $30. Thus, 1 unit on the y-axis represents $15.
The 2 points are: (0, 45) and (5, 120)
Substitute the 2 points into the slope formula:
Slope
= 
<em>= </em>
= 15
Thus, m= 15.
<u>y-intercept, b</u>
From the graph, the line cuts through the y-axis at y= 45.
Thus, b= 45.
<u>Overall equation</u>
Substitute m= 15 & b= 45 into y= mx +b:
∴ The equation of the line is y= 15x +45.
<h3>Additional:</h3>
To learn more about slope-intercept form, do check out: brainly.com/question/26351470
Remember x is x and f(x) is same thing as y.
f(5) = 4
It is same thing as saying, when x = 5, y aka f(x) should be 4. Aka the point (5,4)
Let’s look at D, if x =5 then f(x)=5? No, it should equal 4. So this is wrong. It is also not linear. So NOT D
Lets look at C, if x =5 then
1/5(5)+3 =
5/5 + 3 =
1+3 =
4
So, f(x) aka y = 4. Is this correct? Yes when x =5, y indeed should equal 4, but it is not linear. So NOT C
Lets look at B, if x=5 then,
2^5 -28 =
32 - 28 =
4
So, f(x) aka y = 4. Is this correct? Yes when x =5, y indeed should equal 4, AND it is linear SO THE ANSWER IS B
Check A too, it gets y=14 so thats wrong as it is not 4.
The answer is infinitely many solutions because 0 = 0.
If you don't seem to see where I got 0 = 0, look at the equation,
4b – 4b = 0
first lets do the math on the left side.
4b - 4b is equal to 0.
so lets put 0 on the left side, now lets look at the equation all together,
0 = 0,
and this means that it has infinitely many solutions.
The reason why it is not no solution because no solution means when there are no answers to the equation. For example, the solution is not true, such as the equation 24 ≠ 29. This is a no solution equation. One solution can be 4x = 20, as x = 5, concluding it being one solutions.