Answer:
If your looking at a graph, you find the slope by going to a random point, and using rise/run to go to the next point. A negative slope means the function is decreasing, and a positive slope means the function is increasing.
Answer:
40 items
Step-by-step explanation:
I used the equation 1.5x+50=2.75x to find the answer. If the school were to buy 40 items from either truck, they would both amount to 110.
Exponential growth because maths is good
Answer:
Step-by-step explanation:
The table shows a set of x and y values, thus showing a set of points we can use to find the equation.
1) First, find the slope by using two points and substituting their x and y values into the slope formula,
. I chose (-3, 13) and (0,17), but any two points from the table will work. Use them for the formula like so:
![\frac{(17)-(13)}{(0)-(-3)} \\= \frac{17-13}{0+3} \\= \frac{4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%2817%29-%2813%29%7D%7B%280%29-%28-3%29%7D%20%5C%5C%3D%20%5Cfrac%7B17-13%7D%7B0%2B3%7D%20%5C%5C%3D%20%5Cfrac%7B4%7D%7B3%7D)
Thus, the slope is
.
2) Next, identify the y-intercept. The y-intercept is where the line hits the y-axis. All points on the y-axis have a x value of 0. Thus, (0,17) must be the y-intercept of the line.
3) Finally, write an equation in slope-intercept form, or
format. Substitute the
and
for real values.
The
represents the slope of the equation, so substitute it for
. The
represents the y-value of the y-intercept, so substitute it for 17. This will give the following answer and equation:
![y = \frac{4}{3} x + 17](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20x%20%2B%2017)
Answer:
D) y = 27 · (3)^x
Step-by-step explanation:
Replace x with the x values.
27 · (3)^-2 = 27 · 1/9 = 3
27 · (3)^-1 = 27 · 1/3 = 9
27 · (3)^0 = 27 · 1 = 27
27 · (3)^1 = 27 · 3 = 81
17 · (3)^2 = 27 · 9 = 243
D is your answer.
Hope this helps