Question

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

commission. Write a linear function fto determine Sasha's pay.

T-shirts 1 2 3 4 5
Total Pay 68 71 74 77 80

Answer 1

y=3x+65

Explanation:

Answer 2

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

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

Taking any two pairs of x and y

(1,68) and (2,71)

`m = (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