Jaxxx
contestada

(05.01 MC)

The table and the graph each show a different relationship between the same two variables, x and y:

A table with two columns and 5 rows is shown. The column head for the left column is x, and the column head for the right column is y. The row entries in the table are 3,210 and 4,280 and 5,350 and 6,420. On the right of this table is a graph. The x axis values are from 0 to 10 in increments of 2 for each grid line. The y axis values on the graph are from 0 to 550 in increments of 110 for each grid line. A line passing through the ordered pairs 2, 110 and 4, 220 and 6, 330 and 8, 440 is drawn.

How much more would the value of y be in the table than its value on the graph when x = 11?
100
165
395
440

Respuesta :

coldolsoncharle
the correct answer is 165
MrRoyal

The value of y in the table is 165 more than the value of y in the graph

The points on the table are represented as:

  • (3,210) and (4,280)

So, the equation of the table is calculated using:

[tex]y = \frac{y_2 -y_1}{x_2 -x_1}(x -x_1) + y_1[/tex]

This gives

[tex]y = \frac{280 - 210}{4 - 3} (x - 3) + 210[/tex]

[tex]y = 70(x - 3) + 210[/tex]

Expand

[tex]y = 70x - 210 + 210[/tex]

[tex]y = 70x [/tex]

When x = 11,

We have:

[tex]y = 70 \times 11[/tex]

[tex]y = 770[/tex]

The points on the graph are represented as:

  • (2,110) and (4,220)

So, the equation of the graph is calculated using:

[tex]y = \frac{y_2 -y_1}{x_2 -x_1}(x -x_1) + y_1[/tex]

This gives

[tex]y = \frac{220 - 110}{4 - 2} (x - 2) + 110[/tex]

[tex]y = 55 (x - 2) + 110[/tex]

Expand

[tex]y = 55x - 110 + 110[/tex]

[tex]y = 55x[/tex]

When x = 11,

We have:

[tex]y = 55 \times 11[/tex]

[tex]y = 605[/tex]

Calculate the difference between the y-values

[tex]y_2 - y_2 =770 - 605[/tex]

[tex]y_2 - y_2 =165[/tex]

Hence, the value of y in the table is 165 more than the value of y in the graph

Read more about linear functions at:

https://brainly.com/question/2902482

Otras preguntas