Question

A 3-column table with 4 rows. Column 1 is labeled t with entries 2, 4, 6, 8. Column 2 is labeled 112+8t with entries 112+8×2, 112+8×4, blank, blank. Column 3 is labeled w with entries 128, 144, blank, blank. Stephen is tracking how many words per minute (wpm) he reads for reading class. He is now at 112 wpm, and each week he hopes to increase his speed by 8 words per minute.

a) 112 + 8(6)
b) 112 + 8(8)

Answer 1

Stephen's reading speed increases each week by 8 wpm from a base speed of 112 wpm. By using the expression 112 + 8t and applying multiplication first, we calculate that his speed after 6 weeks is 160 wpm and after 8 weeks is 176 wpm.

Step-by-step explanation:

Stephen's progress in reading speed can be calculated by using the formula 112 + 8t, where t is the number of weeks since he started the exercise. To find the words per minute (wpm) Stephen reads after 6 weeks, we use the expression a) 112 + 8(6), and for 8 weeks, the expression b) 112 + 8(8).

We apply multiplication first according to the order of operations, also known as BIDMAS or PEMDAS. For part a), we multiply 8 by 6 and then add 112.

Answer for a)

8 * 6 = 48
112 + 48 = 160
So, after 6 weeks, Stephen can read at 160 wpm.

Answer for b)

8 * 8 = 64
112 + 64 = 176
Thus, after 8 weeks, Stephen can read at 176 wpm.