Question

2. A cleaning process removes 7% of a contaminant from a water source each week. There are initially 586 pounds of the contaminant in the water source.

a. Write a formula that gives the amount C, in pounds, of the contaminant in the water source after t weeks.

b. How much contaminant remains after 7 weeks?

c. Make a graph that shows the amount of contaminant over the first 20 weeks.

d. When will the contaminant level reach half of the original amount?

Answer 1

Solution:- - 100 2. Remaining m Initial contaminant 586 pounds Removes 14. of contaminant from water each week ben @ the formala for the amount or after tweeks is, if 7% is removed then 93%. remained. there fare, 8- 586(9577 6 after Tweets, b= 586(13) C= 352.59 contaminant 98 352049 pounds. a contaminant tevel 1each half of the original amount 18 59642 986(Hod 293-586 (33) In ( 243/596) 17 (931200) in = 9.55 weeks ② graph over frost do weeks. 1st weeks Remamed antaminant: 544.98 Pounds weet remained contaminant: 401.67 pounds weet remained contaminat: 283.61 pounds weeks remamed contaminant: 191.30 pounds 20 week Tomame d contaminant - 1376 pounds n= 5th 1516 th 5457 Pounds 408 284 196 1391 10 15 20 weeks)