Create the f(x) function based on the table. Your answer should be in function notation. X f(x) - 10 -6 -9 -5 1-8 -4 -7 1-3 5 9
1 answer:
Answer:
Step-by-step explanation:
First create an equation in slope-intercept form, y = mx + b. To do this, find the rate of change or slope (m), and the y-intercept (b).
Using two pairs, (-7, -3) and (-8, -4),
m = 1
To find b, substitute m = 1, x = -7 and y = -3 into y = mx + b.
Thus:
-3 = (1)(-7) + b
-3 = -7 + b
-3 + 7 = b
4 = b
b = 4.
Replace y with f(x), m with 1 and b with 4 in y = mx + b.
The function would be:
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For this case we have that the complete question is:
There were 20 drinks in a cooler. Joey drank 15% of the drinks. Sandra drank 1/5 of the drinks. Hannah drank 1/4 of the drinks. Tammy drank 30% of the drinks. How many drinks are left in the cooler? a 0 b 2 c 5 d 9
We propose a rule of three:
20 ---------> 100%
x ------------> 15%
Where the variable "x" represents the amount of drinks equivalent to 15%.
So, Joey drank 3 drinks.
On the other hand, we have that Sandra drank of the drinks:
Thus, Sandra drank 4 drinks.
In addition, Hannah drank of the drinks:
So Hannah drank 5 drinks.
Finally, Tammy drank 30% of the drinks:
20 ---------> 100%
y ------------> 30%
Where the variable "y" represents the amount of drinks equivalent to 30%.
So Tammy drank 6 drinks.
Adding up we have:
So:
Thus, 2 drinks remain in the refrigerator.
Answer:
Option B