last week, Mr thomas rode his bike 49 miles. this week mr. Thomas rode 14 miles less than he did last week.Mr thomas rode the same distance each of the 7 days this week. write an equation to find the number of miles,m, he rode each day. how many miles did mr.thomas ride each day? mr. Thomas says his goal is to ride a total of 125 miles by the end of next week.he estimates that he needs to ride about 40 miles next week to meet his goal. is his estimate reasonable? explain why or why not
49-14 = 35
35/7 = 5
49+35 = 84
84+40 = 124, which is a good estimate
To find the number of miles Mr. Thomas rode each day this week, we can set up an equation. Let's call the number of miles Mr. Thomas rode each day "m".
Since he rode 14 miles less than last week, we can determine the total number of miles he rode last week by subtracting 14 from the total miles he rode this week. Therefore, last week he rode (49 - 14) = 35 miles in total.
Since he rode the same distance each of the 7 days this week, we can divide the total distance by the number of days to find the number of miles he rode each day. Therefore, m = (35 / 7) = 5 miles.
So the equation to find the number of miles Mr. Thomas rode each day is m = 5.
Now let's consider his goal for next week. He wants to ride a total of 125 miles by the end of next week and estimates he needs to ride about 40 miles.
To check if his estimate is reasonable, we can calculate the total number of miles he will have ridden by the end of next week. This can be done by adding the total miles he has already ridden (49 + 35) to the estimated miles for the next week (40).
Therefore, the total miles ridden by the end of next week would be (49 + 35 + 40) = 124 miles.
Since Mr. Thomas estimated that he needs to ride about 40 miles to meet his goal, it appears that his estimate is indeed reasonable, as it aligns with the calculation of 124 miles.