Below is the graph of y=bx. Find b. On a coordinate plane, an exponential function approaches the x-axis in quadrant 1 and incre

Answer:

Her accumulated earnings for the month total $2208

Step-by-step explanation:

A dental lab technician receives $14 hourly for day shifts and $18 hourly for night shifts.

During one month:

She completed six 4-hour day shifts

Thus, total hours worked =

Three 8-hour day shifts =

Three 10-hour day shifts =

Total day hours = 24+24+30=78 hours

Hourly rate for daytime work = $14

Cost for 78 day hours =

Five 6-hour night shifts=

Four 8-hour night shifts =

Total night hours = 30+32=62 hours

Hourly rate for nighttime work = $18

Cost of 62 night hours =

Thus, total monthly earnings = $1092+$1116 = $2208

Consequently, her total pay for the month amounts to $2208

Let x represent the number of caps

cost per cap = $6

cost for x caps = 6x

shipping charge = $25

overall budget = $1000

We can set up the following inequality:

Because the total amount cannot exceed 1000, we have

25 + 6x ≤ 1000

6x ≤ 975

x ≤ 162.5

rounding,

x ≤ 163

This means she can purchase a maximum of 163 caps.

Let the number be x. The equation x/5 - 17 = 48 leads to (x - 85)/5 = 48. Multiplying gives x - 85 = 240, so x = 240 + 85, resulting in x = 325.

Part a) When a page is scaled down to 80%, how much enlargement is necessary to bring it back to its original size?

Let

x---------> the percent enlargement

Given the original size is 100%

This means:

x*80%=100%

x=(100%/80%)

x=1.25--------> 1.25=(125/100)=125%

Thus,

The answer to Part a) is

The percent enlargement required is 125%

Part b) Estimate how many successive copies of a page are needed to make the final copy less than 15% of its original size.

Since the photocopy machine reduces sizes to 80% of the original

Therefore:

Copy N 1

0.80*100%=80%

Copy N 2

0.80*80%=64%

Copy N 3

0.80*64%=51.2%

Copy N 4

0.80*51.2%=40.96%

Copy N 5

0.80*40.96%=32.77%

Copy N 6

0.80*32.77%=26.21%

Copy N 7

0.80*26.21%=20.97%

Copy N 8

0.80*20.97%=16.78%

Copy N 9

0.80*16.78%=13.42%-------------> 13.42% < 15%

Therefore,

The answer to Part b) is

The necessary number of copies to achieve this is 9

18*2.50=45
50-45=5
Highlighters are priced at $3, which means she bought only one highlighter.
5-3=2
45+3=48
(The last 2 dollars likely account for tax)