Question

4. Sasha sells t-shirts. Each day she earns a set amount, plus a

Answer 1

Answer:

The linear function is: p(x) = 3x+65The linear function is: p(x) = 3x+65

Step-by-step explanation:

Let x be the number of t-shirts and y be the total pay

As we can clearly see in the table that there is a linear relationship between x and y

A linear function is given as:

$y = mx+b$

Here m is the gradient of the function then

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

Taking any two pairs of x and y

(1,68) and (2,71)

$m = \frac{71-68}{2-1}\\m = 3$

Putting in equation

$y = 3x+b$

Putting a pair (1,68) in the equation to find the value of b

$68 = 3(1) + b\\68 = 3+b\\b = 68-3\\b = 65$

Putting the value of b

$y = 3x+65$

Let p(x) be the linear function

Hence,

The linear function is: p(x) = 3x+65