Help me?
( Q U E S T I O N
O N E )
X: -2 -1 0 1 2
Y: _ _ _ _ _
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the function rule to complete the table.
-10x+y=4
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( Q U E S T I O N
T W O )
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Find the function rule.
X: -2 -1 0 1 2
Y: 9 4 -1 -6 -11
Thank You!! :)
-10x+y=4
So, solve each table entry for y:
when x = -2, you have
-10(-2) + y = 4
20+y = 4
y = -16
X: -2 -1 0 1 2
Y: -16 _ _ _ _
and so on
You can solve for each step, but notice that
y = 10x+4
so, every time x increases by 1, y increases by 10
#2
X: -2 -1 0 1 2
Y: 9 4 -1 -6 -11
Note that when x changes by 1, y changes by -5. So the rule looks like
y = -5x
But, -5(-2) = 10, and y=9, so
y = -5x-1
i have literally no idea on what to do on this
thanks @oobleck
@oobleck I’m doing this quiz now and I’m not understanding how to find the rest of y’s numbers, can you help me?
thx
(Q U E S T I O N O N E)
To complete the table using the function rule -10x + y = 4, we need to substitute each value of x into the equation and solve for y.
Given:
X: -2 -1 0 1 2
Y: _ _ _ _ _
Step 1: Substitute x = -2 into the equation:
-10(-2) + y = 4
20 + y = 4
y = 4 - 20
y = -16
So, when x = -2, y = -16.
Step 2: Substitute x = -1 into the equation:
-10(-1) + y = 4
10 + y = 4
y = 4 - 10
y = -6
So, when x = -1, y = -6.
Step 3: Substitute x = 0 into the equation:
-10(0) + y = 4
0 + y = 4
y = 4
So, when x = 0, y = 4.
Step 4: Substitute x = 1 into the equation:
-10(1) + y = 4
-10 + y = 4
y = 4 + 10
y = 14
So, when x = 1, y = 14.
Step 5: Substitute x = 2 into the equation:
-10(2) + y = 4
-20 + y = 4
y = 4 + 20
y = 24
So, when x = 2, y = 24.
Completing the table:
X: -2 -1 0 1 2
Y: -16 -6 4 14 24
( Q U E S T I O N T W O)
To find the function rule using the given table:
Given:
X: -2 -1 0 1 2
Y: 9 4 -1 -6 -11
Step 1: Observe the pattern between the values of x and y.
From the given table, we see that the value of y decreases by 5 as x increases by 1. This means the function has a linear relationship.
Step 2: Determine the slope (m) of the linear function.
To find the slope, we can take any two points from the table and use the slope formula: (change in y)/(change in x).
Using the points (-2,9) and (-1,4):
m = (4 - 9) / (-1 - (-2))
m = -5 / 1
m = -5
Step 3: Determine the y-intercept (b) of the linear function.
Using the point (0, -1):
-1 = m(0) + b
-1 = -5(0) + b
-1 = b
So, the y-intercept is -1.
Step 4: Write the function rule in slope-intercept form (y = mx + b).
Substituting the values of m and b into the slope-intercept form:
y = -5x - 1
Therefore, the function rule is y = -5x - 1.