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

Answer:

$f(x) = 11x +14$

Step-by-step explanation:

Given

The table in the question

Required

The explicit function

First, we calculate the slope of the table:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

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

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

So:

$m = \frac{47 - 25}{3 - 1}$

$m = \frac{22}{2}$

$m = 11$

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:

$f(x) = 11x +14$