Evaluate the function to answer the question.
The percent concentration P of salt in a particular salt water solution depends on the number of grams x of salt that are added to the solution and is
P(x) = 100x + 100 divided by x + 10
(a)
What is the original percent concentration of salt?
(b)
What is the percent concentration of salt after 10 more grams of salt are added?
show your work
(a)
To find the original percent concentration of salt, we need to substitute x = 0 into the function P(x).
P(0) = (100*0 + 100) / (0 + 10)
P(0) = 100 / 10
P(0) = 10
Therefore, the original percent concentration of salt is 10%.
(b)
To find the percent concentration of salt after 10 more grams of salt are added, we need to substitute x = 10 into the function P(x).
P(10) = (100*10 + 100) / (10 + 10)
P(10) = 1100 / 20
P(10) = 55
Therefore, the percent concentration of salt after 10 more grams of salt are added is 55%.