MATHEMATICS HIGH SCHOOL

Please help me! You are offered a job as a sales professional. You are offered a monthly base (fixed) salary of $1,000 plus 30% of the total sales you make for the month.

1) Write a linear function that represents your monthly income.

2) What is the slope? What does it mean in this context?

3) What is the y-intercept? What does it mean in this context?

4) BONUS (1 pt) If you sell $5,000 worth of product, what is your monthly income?

Answers

Answer 1

Answer:

Answer:

1) y = 0.3x + 1000

2) slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

3) y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

4) The salary is $2500

Step-by-step explanation:

monthly salary = fixed part + variable part

The fixed part is $1000. Every month you receive $1000 no matter the amount of sales.

The variable part varies according to the amount of sales. You get 30% of the of the monthly sales. Let the monthly sales be x. The variable part is 0.3x

Let the monthly salary = y.

y = 1000 + 0.3x

y = 0.3x + 1000

slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

In this case, x = 5000

y = 0.3x + 1000

y = 0.3(5000) + 1000

y = 1500 + 1000

y = 2500

The salary is $2500.

Answer:

The First Quartile is incorrect.

Step-by-step explanation:

Step 1: Order the Numbers

They should looks like this: 12 12.2 12.3 12.6 12.8 12.8 13.5 13.9 14 14.2

Step 2: Find the Median

Since there is an even amount of numbers (10), the median is the sum of the two middle numbers divided by two: 12.8 + 12.8 = 25.6, 25.6 ÷ 2 = 12.8. So, 12.8 is our Median. Since our next steps will involve us figuring out more Medians, we will call this the "original Median." (I would suggest you replace the two numbers with one 12.8 and circle it so you know that this is the Median.)

Step 3: Find the Median for the Quartiles

Now you need to find the Median for the numbers leading up to the "original" Median and the numbers following the "original" Median. Since there is again, an even amount of numbers (4), you will add the two middle numbers of those four and divide the sum. Leading up to the Median: 12.2 + 12.3 = 24.5, 24.5 ÷ 2 = 12.25 (First Quartile). Following the Median: 13.9 + 14 = 27.9, 27.9 ÷ 2 = 13.95 (Second Quartile). (Again, I would suggest you replace each two numbers with the one median and circle it so that you will know that these will be the end of your first and third quartiles.)

Step 4: Find the Quartiles

Referring to Jack's Box Plot, the end of his line should start at 12 (that is the lowest number) and should end at 14.2 (that is the highest number). The "original Median" is 12.8, which will be the line inside of his box. Since we figured out what the median is leading up to the "original Median", his box should start at 12.25, and since we figured out the Median following the "original Median" we know that his box should end at 13.95.

Step 5: Make sure they match up

Let's organize this a bit better; numbers 12 - 12.25 (first quartile), 12.25 - 12.8 (second quartile), 12.8 - 13.95 (third quartile), 13.95 - 14.2 (fourth quartile). All of these match correctly except for our first quartile. It starts correctly at 12 but does not end at 12.25 and instead ends around 12.5.

Incorrect: First Quartile

After working out the problem and figuring out what Jack did wrong, we now know that Jack incorrectly worked the First Quartile.

Hope this helped and that it wasn't too confusing. Also, if it was too confusing, try reading it and working out the problem yourself as you read the steps. :)

First put them in order: 12, 12.2, 12.3, 12.6, 12.8, 12.8, 13.5, 13.9, 14, 14.2. The minimum (the lowest) is 12. The median (the middle number) is 12.8. The third quartlile is approximately 13.9. The first quartile is 12.25. He lied about the first quartile :)

A pink crayon is made with 12 mL of red wax for every 5 mL of white wax.Which of the following wax mixtures will create the same shade of pink?

(A) 10 mL of red wax mixed wit 24 mL of white wax

(B) 48 mL of red mixed with 12 of white wax

(C) 13 mL of red mixed with 6 mL of white wax

(D) 36 mL of red mixed with 15 mL of white wax

(E) 60 mL of red mixed with 24 mL of white wax