220 likes | 298 Views
Jeopardy. Hosted by Mr. Wilkinson. Exponential!. Exponential?. Give Me Props 1. Give Me Props 2. 100. 100. 100. 100. 200. 200. 200. 200. 300. 300. 300. 300. 400. 400. 400. 400. 500. 500. 500. 500. Row 1, Col 1. Next = Now · 1.022, Start = 45. Write the Now-Next Rule.
E N D
Jeopardy Hosted by Mr. Wilkinson
Exponential! Exponential? Give Me Props 1 Give Me Props 2 100 100 100 100 200 200 200 200 300 300 300 300 400 400 400 400 500 500 500 500
Row 1, Col 1 Next = Now · 1.022, Start = 45 Write the Now-Next Rule. Y = 45(1.022)x
1,2 Exp. Growth, C = 100 and a = 3 Exponential? A = 100(3)t
1,3 2.38 Simplify:
1,4 1/x4 x-4
2,1 Y = 2500(1.05)x Find the “y = …” rule for the following table.
2,2 NO, increasing at a constant rate (linear). Exponential? Increasing at a rate of 24 per day starting at 18.
2,3 8x3/y6
2,4 8/27
3,1 When x ≈ 4 Find when the following function reaches double it initial amount. Y = 1000(1.2)x
3,2 Exp. Decay, C = 50 and a = 0.8 (80%). Exponential? Now = Next · 0.8 Start = 50
3,3 64x6y19 (4xy6)3(x2y)
3,4 6p8/5
4,1 Y = 430(2/3)x Write the “y = …” rule. Now = Next · Start = 430
4,2 Exp. Decay, C = 250,000 and a = 0.9 (90%). Exponential? Decreasing at a rate of 10% per year starting at 250,000.
4,3 7a13b3
4,4 2·sqrt(10)
5,1 See graphs. Draw a sketch of exponential growth and exponential decay. Describe each in terms of rates of change.
5,2 No, decreasing at a constant rate (linear). Exponential? Now = Next - 0.5 Start = 21
5,3 5/(4p3)
5,4 4·sqrt(3)