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Level 4.0 Question
clubs have the same amount of money?
The graph below describes the money two clubs are earning from fundraising. In how many weeks will the two
Bank Balance (in dollars)
400
(0,270)
(0, 10)
(1,280)
(1,25)
These two lines ARE NOT parallel!!
Club A
Club B
Time (in weeks)
10
a. What is the equation for Club A?
d. How many weeks until both clubs have the same amount of money?
b. What is the equation for Club B?
c. Use the equal values method (set the two equations equal to each other) to get your solution. Show your work.
e. How much money will both clubs have when the amounts are the same?

Answer 1

Explanation:

a. The equation for Club A can be determined by finding the slope and y-intercept of the line. The slope of the line is 10 dollars per week and the y-intercept is 270 dollars. Therefore, the equation for Club A is y = 10x + 270.

b. Similarly, the equation for Club B can be determined by finding the slope and y-intercept of the line. The slope of the line is 25 dollars per week and the y-intercept is 280 dollars. Therefore, the equation for Club B is y = 25x + 280.

c. To find when both clubs will have the same amount of money, we can set the two equations equal to each other and solve for x. So we have:

10x + 270 = 25x + 280

and by solving this equation we get x = -5

d. As x=-5, the number of weeks until both clubs have the same amount of money is 5 weeks.

e. By substituting x = -5 in any of the above equation we can find the money that both clubs will have when the amounts are the same,

y = 10*(-5) + 270 = -50 + 270 = 220 dollars.