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valentinak56 [21]
2 years ago
10

Jin is tracking how much food he feeds his dog each week. After 2 weeks, he has used 8 1/2 cups of dog food. After 5 weeks,he ha

s used 21 1/4 cups. Construct a function in the form y=mx+b to represent the amount of dog used ,y, after x weeks
Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
8 0

Answer:

y = 4.25x

Step-by-step explanation:

The function that we want to construct is a linear function:

y=mx+b

To find the values of the parameters m and b, we just need to use the two points that the question gave:

in two weeks, he used 8 1/2 = 8.5 cups, so for x = 2 we have y = 8.5.

in five weeks, he used 21 1/4 = 21.25 cups, so for x = 5 we have y = 21.25.

Then, we apply these values in the equation:

8.5 = 2m + b

21.25 = 5m + b

Subtracting the first equation from the second, we have:

3m = 12.75

m = 4.25

Now we use the value of m in the first equation to find the value of b:

8.5 = 2*4.25 + b

8.5 = 8.5 + b

b = 0

So, our equation will be y = 4.25x

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Answer:

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Step-by-step explanation:

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This table represents a quadratic function. x y 0 -3 1 -3.75 2 -4 3 -3.75 4 -3 5 -1.75 What is the value of a in the function’s
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Answer:

a = 0.25

Step-by-step explanation:

Our strategy to solve this problem will be to use the information given in the table to obtain  first the value of c in the quadratic equation which has the form ax^2 + bx + c and then form a system of 2 linear equations  and solve for the coefficients a and b as follow:

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we can even  plug the any of the other values for  x given in the table and check the answer.

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