Question

Mr. Conners drove 71 716 miles on Monday, 70 18 miles on Tuesday, and 68 1316 miles on Wednesday. If he continues this pattern on Thursday and Friday, how many fewer miles will he drive on Friday than on Tuesday? Express your answer as a mixed number in simplest form. If he continues this pattern on Thursday and Friday, he will drive________ miles on Friday than on Tuesday.

Answer 1

`\text{ He will drive }3(15)/(16)\text{ fewer miles on Friday than on Tuesday.}`

Explanation:

We can see that Mr. Conners is descending the miles he drove, let's see if it is a constant descending:

`\begin{gathered} 71(7)/(16)-70(1)/(8)=(21)/(16) \\ 70(1)/(8)-68(13)/(16)=(21)/(16) \end{gathered}`

It means he is driving 21/16 miles less on each day, then for Thursday:

`\begin{gathered} 68(13)/(16)-(21)/(16)=(135)/(2)\text{ Thursday} \\ (135)/(2)-(21)/(16)=(1059)/(16)\text{ Friday} \\ \text{Subtract friday by tuesday to se}e\text{ how many fewer miles he will drive:} \\ (1059)/(16)-70(1)/(8)=(63)/(16) \\ \text{Fraction to mixed number:} \\ (63)/(16)=3(15)/(16) \end{gathered}`