Challenge Problem 4. George went on a game show and won $60,000. He wanted to invest it and found two funds that he liked. Fund
250 earns 15% interest annually, and Fund 100 earns 8% interest annually. George does not want to earn more
than $7,500 in interest income this year. He made the table below to show how he could invest the money.
1
P
Fund 100
0.08
X
1
Fund 250
60,000 - X
0.15
1
Total
7,500
60,000
a. Explain what value x is in this situation.
b. Explain what the expression 60,000 - X represents in this situation.
c Using the simple interest formula, complete the table for the amount of interest carned.
d. Write an inequality to show the total amount of interest earned from both funds.
Use algebraic properties to solve for x and the principal, in dollars, George could invest in Fund 100. Show
your work
Use your answer from part (e) to determine how much George could invest in Fund 250.
Using your answers to parts (e) and (6), how much interest would George earn from each fund?
e.
f.
B-

Write the equation of a line that is perpendicular to the given line and that passes through the given point. –3x – 6y = 17; (6, 3) y = x – 9 y = 2x – 9 y = –2x – 9 y = x + 0 3. is the relationship shown by the data linear? if so, model the data with an equation. x y 1 5 5 10 9 15 13 20 the relationship is linear; y – 5 = (x – 1). the relationship is not linear. the relationship is linear; y – 5 = (x – 1). the relationship is linear; y – 1 = (x – 5). write an equation in point-slope form for the line through the given point with the given slope. (–10, –1); m = y + 10 = (x + 1) y – 1 = (x – 10) y – 1 = (x + 10) y + 1 = (x + 10) 5. write an equation for each translation of . 6.5 units up y + 6.5 = | x | y = | 6.5 x | y = | x | + 6.5 y = | x | – 6.5 6. write an equation for each translation of . 5.5 units right y = | x | + 5.5 y = | x – 5.5 | y = | x | – 5.5 y = | x + 5.5 | 7. which equation translates y = | x | by 8 units to the left? y = | x | – 8 y = | x | + 8 y = | x – 8| y = | x + 8|