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JulijaS [17]
3 years ago
14

A restaurant earns $10 for each hour worked up to 40 hours each week and 15 for each additional hour worked over 40 hours. If x

represents the total number of hours the restaurant host work,which function,f(x), represent the total amount the restaurant host would earn if working for more than 40 hours
Mathematics
1 answer:
makvit [3.9K]3 years ago
8 0

Answer:

f(x) =  15x - 200

Step-by-step explanation:

Given

Earnings = \$10 per hour for 40 hours, weekly

Additional\ Hour = \$15 per hour over 40 hours, weekly

Required

Determine f(x)

From the question, we have that

x represents hours worked

Earnings in 40 hours is: 40 * 10 = $400

Hours over 40 will be: x - 40

So, earnings during this time will be: (x - 40) * 15

Total earnings is:

f(x) = 400 + (x - 40) * 15

f(x) = 400 + 15x - 600

f(x) =  15x - 600 + 400

f(x) =  15x - 200

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Ryan is opening up a bookstore, where he sells both new and old books. He
Vinil7 [7]

Answer:

$337.50

Step-by-step explanation:

$12.50(16) = $200

$5.50(25) = $137.50

Add the totals up:

$200 + 137.50 = $337.50

Ryan's revenue for last month was $337.50 :)

4 0
3 years ago
An elementary school class ran 1 mile in an average of 11 minutes with a standard deviation of 3 minutes. Rachel, a student in t
EleoNora [17]

Answer:

Rachel

Step-by-step explanation:

We need to measure how far (towards the left) are the students from the mean in<em> “standard deviations units”</em>.  

That is to say, if t is the time the student ran the mile and s is the standard deviation of the class, we must find an x such that

mean - x*s = t

For Rachel we have

11 - x*3 = 8, so x = 1.  

Rachel is <em>1 standard deviation far (to the left) from the mean</em> of her class

For Kenji we have

9 - x*2 = 8.5, so x = 0.25

Kenji is <em>0.25 standard deviations far (to the left) from the mean</em> of his class

For Nedda we have

7 - x*4 = 8, so x = 0.25

Nedda is also 0.25 standard deviations far (to the left) from the mean of his class.

As Rachel is the farthest from the mean of her class in term of standard deviations, Rachel is the fastest runner with respect to her class.

8 0
3 years ago
Which line contains the point (1,-3)
Rzqust [24]
There are infinitely many lines that have the point (1,-3).

A line can be expressed as:

y=mx+b, where m=slope and b=y-intercept..

Our only restriction is that it passes through (1,-3) so

-3=1m+b

So as long as the sum of the slope and the y-intercept is equal to -3, that is one of the infinite number of lines that passes through (1, -3)

So we could also say b=-3-m then our infinite lines are:

y=mx-3-m, now any real value of m creates a specific line that passes through the point. ie the first few are

y=x-4, y=2x-5, y=3x-6 or even y=x√2-3-√2


4 0
3 years ago
please help asap, see attached photo. This is due in 1 hour!!! please answer both questions. Both 5 and 6
Scorpion4ik [409]

Answer:

A and C

Step-by-step explanation:

5) logx+log(x+9)=2

log(x(x+9))=2, log(x^2+9x)=2

6) log(x^2+9x)=2

(x^2+9x)=36 or 6^2

8 0
2 years ago
What is the area of this figure?
Andrej [43]
I think its 111 hope it helps 
4 0
2 years ago
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