Which equation describes the relationship between the variables in the table below?
2 answers:
Answer:
D) y = 9^x, each y value is the previous y-value multiplied by another 9.
Step-by-step explanation:
We are given table values.
When x = -1 , y = 0.111
When x =1, y = 9
When x =2, y = 81
Now let's check with this with the each function.
y = x^9
When x = -1, y = (-1)^9 = -1
So this is not right function.
y = 9x^2 is also not the right function for the given table values.
y = 9(-1)^2 = 9(1) = 9
y = 9x is not also the right function.
is the correct function for the given table values.
Let's check with a couple of points.
When x = -1, y = 9^-1, this can be written as 1/9 = 0.1111
When x = 2, y = 9^2 = 9*9 = 81
When x = 4, y = 9^4 = 9*9*9*9 = 6,561
Therefore, the answer is D) y = 9^x, each y value is the previous y-value multiplied by another 9.
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Answer:
y = x + 46
Step-by-step explanation:
When writing an equation of a line, keep in mind that you always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:
1. 2 sets of ordered pairs (x, y)
2. Slope (m)
3. Y-intercept (b)
First, choose two pairs of coordinates to use for solving the slope of the line:
Let (x1, y1) = (0, 46)
(x2, y2) = (1, 47)
User the following formula for slope
Plug in the values of the coordinates into the formula:
Therefore, the slope (m) = 1.
Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, 46) is the y-intercept. Therefore, b = 46.
Given the slope, m = 1, and y-intercept, b = 46, the linear equation in slope-intercept form is:
y = x + 46
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