Starting in the year 1800, the population of the United States was recorded until the year 2000. The data is summarized below with a linear function and an exponential function to model the data.

Linear Function: f(x) = 1.363x - 35.2

Exponential Function: f(x) = 7.8 * 1.02^x

Use the linear function and calculate the predicted value and residual value for 1880. Then use the exponential function to calculate the predicted and residual value for 1920.
Select all answer choices that are correct.

b = -23.64
a = 73.84
a = 12.579
b = 73.84
c = 83.97
d = 21.73
c = -23.09

, , ,

Step-by-step explanation:

1880:

The predicted value is:

The residual value is:

1920:

The predicted value is:

The residual value is:

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph