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xz_007 [3.2K]
3 years ago
7

Question 21 of 39

Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0

The correct answer is D. Eleanor has collected 20 action figures. She plans to collect 2  additional figures per month

Explanation:

The purpose of using an equation is to express mathematically a situation or relation. This involves understanding accurately how factors or numbers relate. According to this, the equation y = 2x + 20 fits with the situation described in D because this equation can be used to calculate the number of books Eleanor has as y is the total; 2 is the number of new books per month; x the number of months; and 20 books Eleanor already has.

Also, the number of months is multiplied by 2, and this is added to 20 which equals the total number of books. For example, after three months the total of books would be 26 considering y (total of books) = 2 x 3 (months) + 20 ⇒ 26 books.

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Answer:

y=72.99+28.45(x-1).

Step-by-step explanation:

If we are to write an equation of the form y=c+d(x-1), then the function is linear; therefore, it has a constant slope d.

The slope d of the function is given by

d= \dfrac{\$101.44-\$72.99}{2-1}

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Now we find c from the fact that the first month of service costs $72.99, which gives us (x,y)= (1, 72.99), or

\$72.99=c+28.45(1-1)

\boxed{c=72.99}

Substituting the values of d and c, we get our equation in the final form:

\boxed{ y= 72.99+28.45(x-1)}

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As a mixed number:

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