COMPARING A TABLE AND A GRAPH WORKSHEET

The table and graph show how many words Morgan and Brian typed correctly on a typing test. For both students, the relationship between words typed correctly and time is linear.

Answer the following questions :

(i) Find Morgain's unit rate . 

(ii) Find Brian's unit rate . 

(iii) Which student types more correct words per minute?

(iv) Katie types 17 correct words per minute. Explain how a graph of Katie’s test results would compare to Morgan’s and Brian’s.

Detailed Answer Key

(i) Find Morgain's unit rate . 

m  =  (60 - 30) / (4 - 2)

m  =  30 / 2

m  =  15

So, Morgan's unit rate is 15 words per minute. 

(ii) Find Brian's unit rate . 

m  =  (80 - 40) / (4 - 2)

m  =  40 / 2

m  =  20

So, Morgan's unit rate is 20 words per minute. 

(iii) Which student types more correct words per minute?

Brian types 5 more correct words per minute.

(iv) Katie types 17 correct words per minute. Explain how a graph of Katie’s test results would compare to Morgan’s and Brian’s.

Katie’s graph would go through the origin. Katie’s graph would be less steep than Brian’s but steeper than Morgan’s.

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