Question

At the start of his work day, Mr. Eriksen had 20 boxes of light bulbs tested and ready to be shipped. On average, he can test 40 boxes of light bulbs each hour. Of the 40 boxes tested each hour, he sets aside 5 boxes for retesting. The remaining boxes are marked as ready to be shipped.
A: Mr. Eriksen's situation can be represented by a linear function. Identify the rate of change and initial value of this function. Explain what these values represent in terms of the situation.

B: Write an equation in slope-intercept form to represent the situation. Use x for the independent variable and y for the dependent variable. Identify what both variables represent.

Answer 1

Answer:

Step-by-step explanation:

so this can be solve by using the formula:

f = p( 1 + i)^ n

where f is the future profit

p is the initial profit

i is the percent increase

n is the number of years

a . f = 30000 ( 1.05)^n

b. f = 30000 ( 1.05)^15

f = $62,368

Answer 2

Answer:

• See below

Step-by-step explanation:

Initial value is 20 as there are already 20 boxes ready for shipment.

Each hour 40 - 5 = 35 boxes are ready for shipment

The linear function for this case is:

• y = 35x + 20

35 is the slope or rate of change, 20 is the y-intercept.

y- the number of boxes ready for shipment after x hours.