Question

The number of people who attended a school's last six basketball games increased as the team neared the state sectional games. The table shows the data.
Game 13, 14 15, 16, 17, 18
Attendance 348, 435, 552, 609, 696, 783
State the type of function that best fits the given data. Justify your choice of a function type.

Answer 1

The function will be a (linear function) linear equation in two variable and the equation of the function is y = 87x  - 783

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have given data:

Game(x):              13      14     15      16       17     18

Attendance(y):    348   435  552  609   696  783

If plot these points on a coordinate plane, we will see these points will align in a straight line.

We know we can find a line equation with two points:

(13, 348) and (14, 435)

$\rm (y - 435) = \dfrac{435-348}{14-13}(x-14)$

y - 435 =87(x-14)

y = 87x  - 783

Thus, the function will be a (linear function) linear equation in two variable and the equation of the function is y = 87x  - 783

Learn more about the linear equation here:

brainly.com/question/11897796

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