Question

Damian works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f damian can use to find his pay. Hours 1 1.5 2 2.5 3 Pay 18 23 28 33 38 A. f(x) = 10x + 8 B. f(x) = 15x + 3 C. f(x) = 0.5x + 1 D. f(x) = x + 18

Answer 1

On Saturdays, Eve earns $14 per hour for yard work and an extra amount for dog walking. Look ... Choose the linear function f Eve can use to determine her pay. ... Each day he is paid a set amount, plus an hourly wage. ... Hours 1 1.5 2 2.5 3 ... Using the trend line y = 8x + 8, for the data shown, complete the residual table.

Explanation:

Answer 2

The function which models Damian's pay is : f(x) = 10x + 8

From the table, we can deduce the linear function in the form :

• y = bx + c

b = change in y / change in x

change in y = (38 - 18) = 20

change in x = (3 - 1 ) = 2

b = 20/2

b = 10

Using the point (1, 18) to find 'c' :

y = 10x + c

18 = 10(1) + c

18 - 10 = c

c = 8

Now we have :

y = 10x + 8

Hence, Damian's pay is represented by : 10x + 8