What are the missing values, and what is the equation for the table

9514 1404 393

Step-by-step explanation:

Two points are not sufficient to define a graph, so the equation could be anything that gives the listed values.

We note that the given y-values are powers of 2. Specifically, they are 2^4 and 2^8. These powers differ by 4, just as the corresponding x-values differ by 4. This suggests an exponential equation might be good fit:

  y = 2^(x+3)

Simplified, this is ...

  y = 8·2^x . . . . . exponential equation for table values

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Alternate solution

Often, when only two points are given, a linear function is indicated. We can use the two given points in the 2-point form of the equation for a line to find what the linear equation might be.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (256 -16)/(5 -1)(x -1) +16 . . . . with values filled in

  y = 240/4(x -1) +16 . . . . . . . . . . . find the ratio

  y = 60x -60 +16 . . . . . . . . . . . . . eliminate parentheses

  y = 60x -44 . . . . . linear equation for table values

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The two answers we looked at here are shown in the attached table. There are an infinite number of other possibilities.

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

whatvare the choices

step-by-step explanation: