An employee at a health food company is making a new type of trail mix. she starts with 10 lb of hearty mix, which contains 25% dried fruit by weight. she then adds x lb of active mix, which contains 40% dried fruit by weight. let y be the percent of dried fruit in the new type of trail mix. which function models situation?

Step-by-step explanation:

Initially, the the total quantity of the mixture = 10 lb

In which dried fruit = 25% of 10 lb = 2.5 lb

Since, according to the question, employee adds x lb of Active Mix, which contains 40% dried fruit by weight.

So, the total mixture after addition =( 10+ x )  lb

In which total dried fruit= 2.5 lb+ 40% of x=  (2.5+ 0.4x) lb

So the percentage of the dried fruit in the new mixture =( quantity of dried fruit in the mixture/ total quantity ). 100

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