Question

1. The exponential function modeled below represents the number of square

kilometers of land occupied by cane toads x years after this animal was first
introduced into Australia,
Area Occupied by Cane Toads
Time
Area
1,200
(y)
(km)
1,100
1,000
0
36,500
900
5
53,600
800
700
10
78,800
600
15
115,780
500
20 170,120
400
25
250,000
300
200
30 367,300
100
539,700
0 5 10 15 20 25 30 35
Time (y)
Based on the data, which measurement is closest to the number of square
kilometers of land that will be occupied by cane toads 40 years after this
Area (thousands of km)
35
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Answer 1

600,000 km²

Explanation:

Using the exponential regression calculator : the regression fit obtained for the data is :

36510 * (1.08^x)

After 40 years ;

x = 40

Hence,

y = 36510 * 1.08^40

y = 36510 * 21.72452

y = 793,162.27 km

Hence, y is closest to 800,000 km