contestada

Shauna is going fishing. She records how many worms she has left at the start of each hour in the table below. Write a linear function
rule for the data.
0
1
3
4
2
5
у
9
7
3
1
O FIX) - - 2x + 9
O f(x) = -2x - 6
Of(x) - 2x - 6
O f(x) = 2x + 9

Respuesta :

MrRoyal

Answer:

[tex]f(x)= -2x + 9[/tex]

Step-by-step explanation:

The table is not properly formatted:

We have:

x ------- y

0 ------- 9

1 ------- 7

2 ------- 5

3 ------- 3

4 ------- 1

Required

Determine the linear equation

Since, it is a linear equation.

We need to first determine the slope.

Take any to corresponding values of x and y

[tex](x_1,y_1) = (0,9)[/tex]

[tex](x_2,y_2) = (4,1)[/tex]

Slope is then calculated as thus:

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

[tex]m = \frac{9 - 1}{0 - 4}[/tex]

[tex]m = \frac{8}{- 4}[/tex]

[tex]m = -2[/tex]

The linear equation is then calculated as thus:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 9 = -2(x - 0)[/tex]

[tex]y - 9 = -2x[/tex]

Add 9 to both sides

[tex]y - 9 + 9= -2x + 9[/tex]

[tex]y = -2x + 9[/tex]

[tex]f(x)= -2x + 9[/tex]

Otras preguntas