Answer:
105 shifts
Step-by-step explanation:
Hourly net rate of pay = $12
1 shift = 8 hours
⇒ net pay per shift = $12 × 8 = $96
Total cost = tuition + residence + books
= $4500 + $4800 + $700
= $10,000
To calculate how many shifts Joanne needs to work, divide the total cost by the pay per shift and round it up:
Number of shifts = total cost ÷ net pay per shift
= $10,000 ÷ $96
= 104.1666666...
= 105 shifts
<u>Note</u>: we need to round up, as if Joanne works 104 shifts, she will earn $9,984 which is not quite enough to pay for tuition, residence and books.
Answer:
The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.
Step-by-step explanation:
Due to the assumption of a yearly average rate, a linear function model shall be used. The expected amount of jobs (
) after a certain amount of years (t) is given by the following formula:

Where:
- Initial amount of jobs in pipe fitting industry, measured in thousands.
- Average yearly rate, measured in thousands per year. (A decline is indicated by a negative sign)
If
,
and
, then:


The percent change in jobs from pipe fitting industry is calculated as follows:



The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.
A 2 - - 7 = 9
b - 3 - - 4 = 1
c - 5 - 6 = - 11
d - 3 - - 5 = 2


We could solve for 'x' in the 2nd equation and then plug that into the first equation for 'x' and solve for 'y':

Subtract 6y to both sides:

Divide -2 to both sides:

Plug in 3y + 17 for 'x' in the first equation:


Distribute 5:

Combine like terms:

Subtract 85 to both sides:

Divide 17 to both sides:

This is the y-coordinate of the solution.