# assistance with homework

**Question description**

**30.** Suppose that you start a business

manufacturing and selling bicycles, and

it costs you $5000 to get started. You determine that each bicycles will cost

$400 to manufacture. Explain why the linear equation **y1 = 400x + 5000** gives your total cost to manufacture x bicycles

(y1 in dollars).

**31.** You decide to sell each bike for $600. What

expression in x represents the revenue you will take in if you sell x bikes ?

Write an equation using y2 to express your revenue when you sell x bikes (y2 in

dollars).

**32. **Form a system from the

equation in Exercise 30 and 31, and then solve the system assuming y1 = y2,

that is cost = revenue.

**33. **The value of x from

exercise 32 is the number of bikes it takes to break even. Fill in the blanks:

When _**25**___bikes are sold, the break

–even point is reached. At that point,

you have spent __**15,000**___dollars

and taken in _**15,000**_____dollars.

**12.3**

41. The line segment has an equation that can be

written in the form y = ax + b. Using the coordinates of point *P *with x

= 1996 and y = 1339, write an equation in variables a and

b.

**42. **Using the

coordinates of p Q with X = 2004 and y = 1536 write a second equation in the

variable of a and b

**43. **Write

the system of equations formed from the two equations in Exercises 41

and 42, and solve the system using the elimination

method.

**45. **Let x = 2002 in the equation of Exercise

44, and solve for *y *to the nearest tenth.

How does the result compare with the actual figure

of 1639 million?

**46.** The actual data

points for the years 1996 through 2004 do not lie in a perfectly

straight line. Explain the

pitfalls of relying too heavily on using the equation in

Exercise 44 to predict attendance.

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