1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lesantik [10]
2 years ago
13

Dave receives a salary of $200 a week plus a commission of 10% of his weekly sales. An equation y=mx+b represents Dave’s weekly

earnings. The y-intercept is Dave’s base salary. The slope of the line is his commission. Write an equation representing Dave’s weekly earnings. If Dave sells $1500 of goods for one week, what is his salary for the week? a. $13,000 b. $350 c. $1520 d. $130
Mathematics
2 answers:
eduard2 years ago
6 0
<span><u><em>Answer:</em></u>
Dave makes $350 

<u><em>Explanation:</em></u>
In order to find this answer, we must first establish the equation for his earnings.
<u>We use slope intercept form:</u>
 y = mx + b,
where m = slope and b = y-intercept.

Since the problem states that his commission percentage is the slope and his base salary is the y-intercept, we can use them in the equation <u>to get the following: </u>
y = 0.1x + 200.

Now knowing that the x is the amount he sells, we can use the $1500 as x to find his total pay for the week:.
y = 0.1(1500) + 200,
y = 150 + 200,
y = 350. </span>
alekssr [168]2 years ago
4 0

Answer:

y=0.10x+200

b. $350

Step-by-step explanation:

Let x represent the cost of goods sold by Dave.

We have been given that Dave receives a salary of $200 a week plus a commission of 10% of his weekly sales.

We are asked to write an equation that represents Dave’s weekly earnings in slope-intercept form of equation, where, y-intercept is Dave’s base salary and the slope of the line is his commission.

We know that slope-intercept form of an equation is in format: y=mx+b, where,            

m = Slope of line,

b = The y-intercept.

As we have been given that y-intercept is Dave’s base salary, so this means that value of b is 200.

Now, we need to find the slope of our line.

The slope of line will be Dave's commission. This means that slope of line will be 10% of x.

\text{10\% of x}=\frac{10}{100}x=0.10x

Upon substituting our given values in slope-intercept form of equation we will get,

y=0.10x+200

Therefore, the equation y=0.10x+200 represents Dave's weekly earnings.

To find Dave's salary we need to substitute x=1500 in our given equation.

y=0.10\cdot 1500+200

y=150+200

y=350

Therefore, Dave's weekly salary for the week is $350 and option 'b' is the correct choice.

You might be interested in
What is the answer to all of these questions my minds not thinking right
Norma-Jean [14]
9) 6/10
10)14/21
11) 4/5
12)12/40
13)7/12
14)45/80
15) 27/108
16)7/56
17) 6/27
18) 70/112
4 0
3 years ago
If x*y =<br>1, then 7 * 28 =<br>​
gladu [14]
196 I think hope this helps
8 0
3 years ago
Read 2 more answers
Compare one third to sixths
zhuklara [117]
In one third you would need 12 one thirds to make a whole sixth
6 0
3 years ago
Read 2 more answers
The scale on a map states that 1 centimeter corresponds to 20 kilometers. On the map, two cities are 0.3 cm apart. Find the actu
Archy [21]

Answer: The actual distance is 6 km

Step-by-step explanation: If you do a conversion from 1 cm to 20 km in fraction form, you will have

\frac{1cm}{20km} = \frac{0.1cm}{km ?}

So, if you solve for km, you will get 6 using cross multipulcation

6 0
3 years ago
To which graph does the point (−1, 4) belong?
Verdich [7]
Insert x = -1 and y = 4 into the first inequality:-
4 <= -(-1) + 4 = 5  

so this fits


Its A
6 0
3 years ago
Read 2 more answers
Other questions:
  • if you invested $45,000 for 8 months at an interest rate of 2.75 % how much interest would you earn?​
    15·1 answer
  • The perimeter of a triangle is 84 meters. The longest side of the triangle is 7 meters less than twice the length of the shortes
    13·1 answer
  • Simplify <br> 3 + (-8) -17
    6·2 answers
  • HELP ASAP !! <br><br><br> What is the range of the function represented by the graph ?
    5·1 answer
  • What is the slope of a line that is perpendicular to the line shown?
    10·1 answer
  • Help!!<br> find the surface area of the figure below
    6·1 answer
  • Helllllp me plssssssss
    13·2 answers
  • An employee works 6 hr. on Monday, 8 hr. on Tuesday, and 9 hr. on Wednesday and received a $51 bonus. What is his hourly pay rat
    5·2 answers
  • If x = 4, y = 3, z = -5, then evaluate: z - z + x - y
    10·2 answers
  • What is the surface area of the solid?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!