What is the minimum y-value after which the exponential function will always be greater than the linear function? y = 1 y = 3 y
1 answer:
Answer:
y = 4.
Step-by-step explanation:
I suppose that this question relates to the image that can be seen below.
In the image, the green line represents the exponential function and the blue line represents the linear function.
The y-value after which the exponential function will always be greater than the linear function is the y-value where bot graphs intersect, such that after that point, the blue line starts increasing fast, and is always above the green line.
In this case, this point is the second intersection, and we can see that this intersection happens in the point (2, 4)
Remember that the usual notation for points is (x, y).
Then the y-value after which the exponential function will always be greater than the linear function is y = 4.
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Answer:
To completely fill the sandbox will cost $56
Step-by-step explanation:
First, we calculate volume of the rectangular-shaped sandbox:
We know that density of sand is 100 pounds per cubic foot. Then, to fill the sand box that has a volume of 8 cubic foot, we calculate by rule 3:
1cubic foot..............100 pounds
8 cubic foot.............x pounds
We will need 800 pounds of sand to fill the sandbox, then we can calculate by rule 3 the number of bags needed and next the total cost of them:
50 pounds.......1bag
800 pounds.....x bags
To calculate the cost:
1 bag ..................$3.50
16 bags.................$x
To completely fill the sandbox will cost $56