Pearson Algebra 2 Common Core, 2011
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Pearson Algebra 2 Common Core, 2011 View details
2. Properties of Real Numbers
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Exercise 73 Page 17

Start with writing a rule for the graph.

H

Let's first write a rule for the given graph that show the increase in cost.

Let's show each value using a table.

Minutes Cost (dollars)
0 10
100 20
200 30
300 40

By interpreting the table, we can say that the beginning cost was $10 and it increases $10 after every 100 minutes.

Change in Minutes Minutes Cost (dollars) Change Cost
0 10
+100 ↪ 100 20 +10 ↩
+100 ↪ 200 30 +10 ↩
+100 ↪ 300 40 +10 ↩
Thus, we can represent the cost for n minutes plan as shown below. C_n= 10+n/10 Using this rule, let's determine the truth value of each option. We will first start with option A.
C_n=10+n/10
C_(400)=10+400/10
C_(400)=10+40
C_(400)=50
Since the cost of 400-minute plan is $ 50, option A is incorrect. We can examine the other options in the same way.
Option Statement Substitution Height (in.) Truth Value
F A 400-minute plan costs $40. C_(400)=10+400/10 C_(400)=$50 False
G A 100-minute plan costs $10. C_(100)=10+100/10 C_(100)=$20 False
H A 1000-minute plan costs $110. C_(1000)=10+1000/10 C_(1000)=$110 True
I A 200-minute plan costs $35. C_(200)=10+200/10 C_(1000)=$30 False

As a result, option H is the best statement about the graph.