Ariel read a total of 1742 pages over 26 hours. In all, how many hours of reading will Ariel have to do this week in order to have read a total of 2546 pages? Solve using unit rates.

38 hours

Step-by-step explanation:

Given:

Total number of pages read = 1742

Total hours = 26

We can find, average page read per hours,

Avg page read = Total number of pages read/Total hours

Avg page read = 1742/26 = 67 pages

So we know Ariel on average can read 67 pages in an hour.

Now, using the same formulae:

Avg page read = Total number of pages read/Total hours

67 = 2546/Total hours

Total hours = 2546/67

Total hours = 38 hours

-6 + 3 = 3 - 6

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.