The function g(x) is graphed. On a coordinate plane, a curved line enters the plane at point (negative 2.3, 5), crosses the x- a

Answer:

D. R(x) = 850x +9600

Detailed explanation:

Selling 10 additional machines increased revenue from $18100 to $26600, which reflects an increase of...

... $26,600 minus $18,100 equals $8,500

This indicates that revenue rose by $8500 divided by 10, which equals $850 per machine.

Only one option contains this value:

... D. R(x) = 850x+9600

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Verification

R(10) = 850·10 +9600 = 8500 +9600 = 18,100.... Correct

R(20) = 850·20 +9600 = 17000 +9600 = 26,600.... Correct

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Comments on choice selection

In multiple-choice scenarios, it's often not required to solve the entire problem accurately. Generally, it's enough to identify the single number that distinguishes the correct from the incorrect options.

In reality, problems are seldom multiple-choice. One must go through the process thoroughly and determine whether the answer is accurate.

Here, we delved deep enough to find the slope, representing the revenue gain when one unit increase in sales occurs. Different methods can determine the intercept. One such method is to identify the value that aligns revenue with one of the "x" values:

... R(10) = 850·10 +b = 18100

... b = 18100 -8500 = 9600

therefore...

... R(x) = 850x +9600

We can verify this answer by calculating R(20) as shown previously.

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

Answer:

From 1 kg of aspirin, a total of 12,345 tablets can be produced.

Step-by-step explanation:

This query mentions that low-strength chewable aspirin tablets for children and adults contain 81 mg of aspirin each, asking how many tablets can be made from 1 kg of aspirin.

Considering the weight of a tablet measured in kg, we start by converting 81 mg to kg.

Each kg equals 1,000,000 mg. Hence

1 kg - 1,000,000 mg

x kg - 81 mg.

1,000,000x = 81

Therefore, x = 0.000081 kg.

Each tablet essentially contains 0.000081 kg of aspirin. To find out how many tablets this yields from 1 kg of aspirin:

1 tablet - 0.000081 kg

x tablets - 1 kg

0.000081x = 1

Thus, x = 12,345 tablets.

Therefore, a total of 12,345 tablets can be manufactured from 1 kg of aspirin.