Question

A linear function has the table of values shown. The information in the table shows the number of tickets sold on opening night of a movie as a function of the number of hours since the tickets have been on sale.
Number of Hours (x) 2 6 18
Number of Tickets Sold (y) 64 192 576
Write the equation that gives the number of tickets sold, y, as a linear function of the number of hours, x, since the tickets have been on sale. Enter your answer in the box

Answer 1

The linear function from the table is given by y = 16x.

Linear function

A linear function is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope of the line) and b is the y intercept.

Let y represent the number of tickets sold within x hours.

From the table, using the point (2, 64) and (18, 576):

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-64=\frac{576-64}{18-2} (x-2)\\\\y=16x$

The linear function from the table is given by y = 16x.

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