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Answer:
y = -0.2x + 8
Step-by-step explanation:
To write a linear function, calculate the rate of change of the gallon of water leaving the tank and the starting level.
The function will describe the number of gallons over time or (time, gallons).
This means the function has data points (1, 7.8) and (9, 6.2).
Use the rate of change or slope formula to calculate it.
This means that for the formula y = mx+b then m = -0.2.
This also means that after losing 0.2 gallons the first hour it was at 7.8. So the starting value is 8 gallons.
The equation is y = -0.2 x + 8.
In this question, we have to write the set of points from -6 to 3 but excluding -2 and 3 as a union of intervals .
For union, we use U.
For the points that we have to exclude , we put parenthesis on there side that is ().
Therefore the required interval form is
As we see that () are used with -2 and 3 . And that's the required interval form .