Hiroto's texting plan costs $20 per month, plus $0.05 per
2 answers:
The question is incomplete:
Hiroto's texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia's plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?
A. Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.
B. Both plans cost the same when 22 texts are sent.
C. Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
D. Both plans cost the same when 50 texts are sent.
THE GRAPH IS ATTACHED.
Answer:
D. Both plans cost the same when 50 texts are sent.
Explanation:
The answer is that both plans cost the same when 50 texts are sent as both lines intersect in 50 texts with a price of $22.5 which means that they cost the same.
The other options are not right:
-Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent. This is not true because in the graph you can see that after 50 texts Emilia's line is higher which indicates that her plan has a higher costs.
-Both plans cost the same when 22 texts are sent. This is not true because the lines don't intersect at the same point when 22 texts are sent.
-Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent. This is false because when 22 texts are sent Emilia's plan costs around $15.5 and Hiroto's plan costs around $21 and Hiroto's plan is more expensive until they reach 50 texts that is the only point where they cost the same.
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Car 1: It is an exponential function that is given as P = 18,500 (0.9595)ⁿ and the price after 10 years is $12,235.5.
Car 2: It is a linear function that is given as 2000x + 3y = 55500 and the price after 10 years is $11,833.33.
And Yes, there is a significant difference.
<h3>What is a function?</h3>A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.
Car 1 (value in dollars)
Year 1: 18,500
Year 2: 17,390
Year 3: 16,346.60
Car 2 (value in dollars)
Year 1: 18,500
Year 2: 17,500
Year 3: 16,500
The exponential function describes car 1.
Then the function will be
The linear function describes car 2.
Then the value of the car 1 after 10 years will be
Then the value of the car 2 after 10 years will be
Yes, there is a significant difference.
More about the function link is given below.
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