Answer:
(34.89 x 6) + (33.99 x 6) = 413.28
Step-by-step explanation:
1. Find the unit rate of each ticket if the deal is 5 tickets. 174.45 ÷ 5 = 34.89
2. Find the unit rate of each ticket if the deal is 8 tickets. 271.95 ÷ 8 = 33.99
3. Now that we know our unit rates for the different deals, generate your equation.
(a)
We have been given an equation
. Upon taking derivative of this equation with respect to x on both the sides, we get:

(b)
In order to write the equation of tangent line, we need to find the slope of the line. We know that point (3,11) lies on the graph. Therefore, we write the slope of the tangent as:

Therefore, equation of tangent line is:

(c)
We know that slope of tangent is given as
. The tangent will be vertical when denominator of slope is zero, that is:

Were there any answer choices? I feel that this question can have many answers..
Natural selection
Genetic Mutations
DNA (OR)
Survival of the Fittest
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