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Maths-

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Question

An analyst estimates that the cost of each of the paperback books will increase $0.50 each year after 2016. Which of the following models the cost $c$ , in dollars, of each of the paperback books t years after 2016 ?

A certain book is available from a publishing company in both hardcover and paperback. The table shows the revenue and cost in 2016 for each of the hardcover and paperback books produced by the company.

$c = 0.5 + 10 t$
$c = 0.5 + 18 t$
$c = 10 + 0.5 t$
$c = 18 + 0.5 t$

The correct answer is: $c equals 10 plus 0.5 t$

Look at the options and observe which one has an initial constant set to 10, since the cost of a paperback book in 2016 was $10. Addition to this, it has an increment rate of 0.5 because each year after 2016, the cost increases by $0.5
Explanations:
Step 1 of 1:
Consider option C, $c equals 10 plus open parentheses 0.5 cross times t close parentheses$ , where $c$ is the cost of a paperback book and $t$ is number of years.
In the above equation, the cost $c$ has an initial of 10 which indicates the cost price of a paperback book in 2016.
Then $open parentheses 0.5 cross times t close parentheses$ part adds up to 10, which indicates the increment of cost price after 2016 at $t$ years.
Final Answer:
The suitable model is — $c equals 10 plus 0.5 t$

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