Question

Select the correct answer. Tracy is practicing singing for a competition. She increases the length of her daily practices by the same amount each day and records her time in the table. Day Practice Time (minutes) 1 25 2 36 3 47 4 58 5 69 Select the explicit function which defines the sequence represented in the table.

Answer 1

f(n) = 11n + 14

Explanation:

Plato/Edmentum

Answer 2

`f(x) = 11x +14`

Explanation:

Given

The table in the question

Required

The explicit function

First, we calculate the slope of the table:

`m = (y_2 - y_1)/(x_2 - x_1)`

Where:

`(x_1,y_1) = (1,25)`

`(x_1,y_1) = (3,47)`

So:

`m = (47 - 25)/(3 - 1)`

`m = (22)/(2)`

`m = 11`

The equation is then calculated using:

`y - y_1 = m(x - x_1)`

So, we have:

`y - 25 = 11(x - 1)`

`y - 25 = 11x - 11`

`y = 11x - 11+25`

`y = 11x +14`

So, the function is:

`f(x) = 11x +14`