$MathMaster logo$

MathMaster

Home
general
an electric bicycle manufacturer produces 6 000 units when the market price is us 2 350 while if the market price is us 1

Question

An electric bicycle manufacturer produces 6,000 units when the market price is US$2,350, while if the market price is US$1,750 it produces 4,200 units. The linear function that represents this situation is

205

likes

1023 views

Answer to a math question An electric bicycle manufacturer produces 6,000 units when the market price is US$2,350, while if the market price is US$1,750 it produces 4,200 units. The linear function that represents this situation is

$Expert avatar$

4.8

99 Answers

To find the linear function that represents this situation, we need to determine the slope of the line using the two given data points.

Let:
-

x_1 = 2350

(market price of US$2,350)
-

y_1 = 6000

(number of units produced when market price is US$2,350)
-

x_2 = 1750

(market price of US$1,750)
-

y_2 = 4200

(number of units produced when market price is US$1,750)

The slope of the line can be calculated as:

m = \dfrac{y_2 - y_1}{x_2 - x_1}

Substitute the given values into the formula:

m = \dfrac{4200 - 6000}{1750 - 2350} = \dfrac{-1800}{-600} = 3

Now that we have the slope, we can use the point-slope form of a linear equation to write the equation of the line:

y - y_1 = m(x - x_1)

Substitute one of the points and the slope into the equation:

y - 6000 = 3(x - 2350)

y - 6000 = 3x - 7050

y = 3x - 1050

Therefore, the linear function that represents this situation is y =3x-1050

Frequently asked questions (FAQs)

Math question: Simplify the expression 4x(3x+2) - 2(x-1) using the distributive property.

+

What is the formula for calculating standard deviation in a data set?

+

What is the length of the hypotenuse in a right triangle with an opposite side of 8 and an adjacent side of 15?

+

New questions in Mathematics

Calculate to represent the function whose graph is a line that passes through the points (1,2) and (−3,4). What is your slope?

How to find the value of x and y which satisfy both equations x-2y=24 and 8x-y=117

A=m/2-t isolate t

the value of sin 178°58'

(2x+5)^3+(x-3)(x+3)

Determine the reduced equation of the straight line that is perpendicular to the straight line r: y=4x-10 and passes through the origin of the Cartesian plane

form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?

In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24

Solve the following equation for x in exact form and then find the value to the nearest hundredths (make sure to show your work): 5e3x – 3 = 25

DuocUC 2) The cost C, in pesos, for the production of x meters of a certain fabric can be calculated through the function: (x+185) C(x)=81300-6x+ 20000 a) It is known that C(90) 5.344. Interpret this result. (2 points) b) Calculate C'(x) (2 points) 3 x²+111x-0.87 20000 2000 c) Function C calculates the cost while producing a maximum of 500 meters of fabric. Determine the values of x at which the cost of production is increasing and the values of x at which the cost is decreasing. (3 points) d) If a maximum of 500 meters of fabric are produced, what is the minimum production cost? (

Next%C3%B3n%2C+we+are+given+a+series+of+Tri%C3%A1angles+Right%C3%A1angles+%3Cbr%2F%3Ey+in+each+one+of+them+ are+known+2%28two%29+measurements+of+sides.+%3Cbr%2F%3Elet's+determine+all+trigonom%C3%A9tric+ratios.

When Sara was 15 years old, an uncle left her as inheritanceà a sum of 10,000 euros which he invested in a bank that applies the interest rate of 2,5% annual. Today Sara is 18 years and wants to buy a'car, how much she can ò withdraw from the bank?

A hardware bill totals $857.63 with discounts of 5% and 3%. What is the net cost of the Material ?

Write the equation of the line that is parallel to y= 4x-7 and has a y- intercept at (0,5)

Consider the function f(x)=1/2(x+1)^2-3. Use the preceding/following interval method to estimate the instantaneous rate of change at 𝑥 = 1.

Given a circle 𝑘(𝑆; 𝑟 = 4 𝑐𝑚) and a line |𝐴𝐵| = 2 𝑐𝑚. Determine and construct the set of all centers of circles that touch circle 𝑘 and have radius 𝑟 = |𝐴𝐵|

22. Let [AB] be a chord in a circle C, and k a circle which is internally tangent to the circle C at a point P and to the chord [AB] at a point Q. Show that the line P Q passes through the midpoint of the arc AB opposite to the arc APB.

simplify w+[6+(-5)]

In a cheese factory, one pie costs 3800 denars. The fixed ones costs are 1,200,000 denars, and variable costs are 2,500 denars per pie. To encounter: a) income functions. profit and costs; b) the break-even point and profit and loss intervals.