Question

3-67

The amount of money Theresa ears at her job
varies directly with the number of hours she works.
This means that her earnings are proportional with
the time she works. She knows that when she works
2 hours, she earns $12. When she works 3 hours,
she earns $18.
a) How much would Theresa
earn after working 5 hours?
b) What is the rule for this
situation?
y = ( ) x + ( )
(a.) $
(b.) y =​

Answer 1

a) Theresa would earn $30 after working 5 hours. b) The rule for this situation is y = 6x.

Step-by-step explanation:

a) To find out how much Theresa would earn after working 5 hours, we need to determine the constant of proportionality. From the given information, we know that when she works 2 hours, she earns $12. This means she earns $6 per hour (12/2). So, if she works 5 hours, she would earn 5 * 6 = $<<5*6=30>>30.

b) The rule for this situation can be represented by the equation y = 6x, where y represents Theresa's earnings and x represents the number of hours she works.

Answer 2

30 dollars is the first answer, the second one is explained bellow.

Step-by-step explanation:

If she earns $12 per 2 hours and $18 per three, it means Theresa receives six dollars per working hour.

The formula is this one:

Y is found when you multiple x (the amount of hours she spends working) times the hourly waive she is given. So, the formula would be y=(a) (x) where y is the total (30 dollars) and a is 6 and x the hours spent at work, 5, giving 30 as a result.