Question

read the following description of a relationship: jeanettes spelling list is 10 words long at the start of the school year. each month her teacher adds 9 words to the list. let m represent the number of months since school began and w represent the total number of spelling words. complete the table using the function w = 9m + 10. m | w 2 | 3 | 4 | 46 5 |

Explanation:

Step1: Calculate w when m = 2

Substitute \( m = 2 \) into the formula \( w = 9m + 10 \).
\( w = 9\times2 + 10 = 18 + 10 = 28 \)

Step2: Calculate w when m = 3

Substitute \( m = 3 \) into the formula \( w = 9m + 10 \).
\( w = 9\times3 + 10 = 27 + 10 = 37 \)

Step3: Calculate w when m = 5

Substitute \( m = 5 \) into the formula \( w = 9m + 10 \).
\( w = 9\times5 + 10 = 45 + 10 = 55 \)

Answer:

For \( m = 2 \), \( w = 28 \); for \( m = 3 \), \( w = 37 \); for \( m = 5 \), \( w = 55 \)