Question

Luke started a weight-loss program. The first week, he lost x pounds. The second week, he lost pounds less than times the pounds he lost the first week. The third week, he lost 1 pound more than of the pounds he lost the first week. Liam started a weight-loss program when Luke did. The first week, he lost 1 pound less than times the pounds Luke lost the first week. The second week, he lost 4 pounds less than times the pounds Luke lost the first week. The third week, he lost pound more than times the pounds Luke lost the first week.

Answer 1

Answer:

C) It is not possible. He needs to lose at least 5 lbs a week

Step-by-step explanation:

This would not be possible. To know, you have to plug 10 into the function:

-4(10) + 250 = 210

After getting this value, ou have to take it away from 250:

250 - 240 = 40 → This 40 represents the value for the amount of pounds lost

40 is less than 50, so he would have to lose more than 4 pounds a week

To see if losing 5 pounds is enough, replace the -4 from the function with a -5:

-4x + 250 = 210 → -5x + 250 = 210

From here plug in 10 just like the previous time:

-5(10) + 250 = 200

From here take 200 away from 250 to find the pounds lost in 10 weeks:

250 - 200 = 50

50 is equal to the goal of 50 pounds, so therefore, Luke needs to lose at 5 pounds a week