An employee at a health food company is making a new type of trail mix. She starts with 10 lbs of Hearty Mix, which contains 25% dried fruit by weight. She then adds x lbs 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?

y = (2.5 + 0.4x) / (10 + x) × 100

Step-by-step explanation:

The total quantity of the trail mix = 10 lb

Dried fruit = 25% of the trail mix

=25% of 10 lb

= 0.25 × 10

= 2.5 lb

Employee adds x lb of Active Mix, which contains 40% dried fruit by weight.

Total trail mix after addition = ( 10 + x ) lb

Total dried fruit = 2.5 lb + 40% of x

= (2.5 + 0.4 * x) lb

= (2.5 + 0.4x) lb

Let

y = percent of dried fruit in the new type of trail mix.

% of dried fruit in the new type of trail mix = ( quantity of dried fruit in the trail mix / total quantity ) × 100

y = (2.5 + 0.4x) / (10 + x) × 100

Option C is the correct answer

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)