Here are a bunch of CORRECT answers. Your answer is in the first pic. I got number 3 wrong, but it still showed the correct answer.
Answer: Slope = 5/4
y-intercept = 2
Step-by-step explanation:
We have the table:
Months, m Plant height in inches, n
0 2
2 4.5
4 7
6 9.5
We want a linear relationship to represent this table.
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
In this case we can select any pair of points, for example, i will choose the first two:
(0, 2) and (2, 4.5)
Then the slope is:
a = (4.5 - 2)/(2 - 0) = (2.5/2) = 1.25 = 5/4
Then our line can be written as:
y = (5/4)*x + b
To find the value of b, we can replace the values of any of the points in the equation, for example, i will use the point (0, 2) or x = 0, y = 2.
2 = (5/4)*0 + b
2 = b
Then our equation is:
y = (5/4)*x + 2.
Slope = 5/4
y-intercept = 2
Answer: 1,500 x 12
Step-by-step explanation:
They make 1500 a month, there are 12 months in a year.
Multiply the monthly income by 12 to find the yearly salary
Answer:
9/20
Step-by-step explanation:
You set the fraction up at first as 45/100. Then you know that 5 goes into each so you divide by 5
45/5=9
100/5=20
You get 9/20, and this is in simplest form.
We can represent the three integers with x, x + 2, and x + 4
This shows that the integers ascend in two units at a time, which are consecutive even integers. Next we can just translate the equation straight through.
5(x+4)=2(x + x + 2 + 42)
5x + 20 = 2(2x + 44)
5x + 20 = 4x + 88
x = 68
The integers are 68, 70, and 72