Page 92 - IM_Algebra2_FL Print Sample.pdf
P. 92
step number
number of shaded triangles
area of each shaded triangle, in2
1
3
64
2
3
4
5
b. Graph the number of shaded triangles as a function of the step number, then separately graph the area of each triangle as a function of the step number.
c. How are these graphs the same? How are they di erent?
Solution
a.
step number
number of shaded triangles
area of each shaded triangle, in2
1
3
64
2
9
16
3
27
4
4
81
1
5
243
b. GRAPH NEEDED [[graphs: rst is 3^n, second is 256 * 0.25^n; use dots, do not connect points with a curve]]
c. Sample Response The graphs are both curved instead of straight and made of distinct points. They are di erent in that the number of triangle pieces is increasing, while the area of each triangle is decreasing toward zero.
Problem Statement
Lin owes $1000 on a credit card that charges an interest rate of 2% per month.
Complete this table showing the credit card balance each month if Lin does not make any payments.
Unit 1
Lesson 2 Practice Problems 27
