Question

When Hana goes to the mall, she always buys the same lunch and also buys some books. The table shows the number of books she buys, x, and the total amount of money she spends, y.

x 1 2 3 4 5
y 17 21 23 26 34

Hana writes the equation y = 5.5x + 11 to represent a trend line for her data. Use her equation to predict how much she will spend if she buys 8 books.
The number of dollars spent if she buys 8 books is:

A) $48.50
B) $55.00
C) $49.50
D) $52.00

Answer 1

Using the equation y = 5.5x + 11, substituting the number 8 for x, the total amount Hana would spend on 8 books is calculated to be $55.00.

Step-by-step explanation:

To predict how much Hana would spend if she buys 8 books, we use the equation y = 5.5x + 11. This equation gives us the total amount y that Hana spends when buying x books. Here, x is the number of books.

Substitute x with 8:

y = 5.5(8) + 11

y = 44 + 11

y = 55

So, if Hana buys 8 books, she will spend $55.00 according to the equation. Therefore, the correct answer is B) $55.00.