Can you explain how a table can be used to find the rate of change

1 answer:

6 0

A table will generally give you an output value for each of several input values. To find the average rate of change over some range of inputs, divide the difference between output values by the difference between input values for the corresponding inputs.

For example, consider the table

input .... output

.. 1 ............ 3

.. 3 ........... -5

The average rate of change between these input values is

... (change in output)/(change in input) = (-5 -3)/(3 - 1) = -8/2 = -4.

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Someone help me please!!!!!!!!!!!

alexdok [17]

You have 3 unknowns: a, b, and c. That means you have to have 3 equations to solve for the values of them. 3 unknowns needs 3 different equations. We will use the first 3 points in the table and thank God that one of them has an x value of 0. We will replace the x and y in the general form of the quadratic with the x and y from the table, 3 times, to find each variable. Watch how it works. We will start with (0, 15). $a(0)^2+b(0)+c=15$ . That gives us right away that c = 15. We will do the same thing again with the second value in the table along with the fact that c = 15 to get an equation in a and b. $a(2)^2+b(2)+15=15.5$ which simplifies to 4a+2b=.5. Now do the same for the third set of coordinates from the table. $a(4)^2+b(4)+15=17$ which simplifies down to 16a+4b=2. Solve those simultaneously. Multiply the first bolded equation by -4 and then add that one to the second bolded one. $-4(4a+2b=.5)$ gives us -16a-8b=-2. Add that to the second bolded equation and the a terms cancel out giving us -4b=0 so b = 0. Subbing that back in we solve for a: 16a+4(0)=2 and 16a = 2. Therefore, a = 1/8. The quadratic then is $\frac{1}{8}x^2+15=y$

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3 years ago

Please help and show work!!

abruzzese [7]

Not much work is required to solve this I believe.... B) c= 40+170m because..... Well the fee to hook is already 40.. and you're trying to figure out the miles it was towed... the price per mile is $1.70... So you would have to multiply the money per mile and miles (m) hope this help (idk if I'm making any sense or if this is right let's hope lolll :)

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3 years ago

Read 2 more answers

Write an equivalent expression for 5(6-1)

Orlov [11]

Correct Answer: 5b - 5

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3 years ago

A car is traveling at a rate of 80 miles per hour. Assume that 1 mile is equal to 1.6km.

vazorg [7]

I think that car travelled 128 km in one hour and 384km in 3 hours

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