Question

Lian is paid for SR 75 per hour. Using p for her pay and h for the hours of work, which function rule represents

this situation?
h = p + 75
p = h + 75
h = 75p
p = 75h

Answer 1

The function p = 75h represents this situation.

Explanation:

We know the equation of linear equation in the slope-intercept form is

`y = mx+b`

where

m = rate of change = slope

b = y-intercept

• Let 'h' be the number of hours

• Let 'p' be the pay

Given that Lian is paid SR 75 per hour.

so the rate of change of slope = m = 75

As there is no initial condition, so b = 0

as

y = mx+b

Now, mapping the information data into the slope-intercept form

• p = y

• m = 75

• h = x

• b = 0

Thus, the equation becomes

p = 75h

Therefore, the function p = 75h represents this situation.

VERIFICATION:

Given the equation

p = 75h

for h = 1

p = 75(1)

p = 75

Thus, Liam is paid SR 75 per hour.