Writing mathematical model for total cost


Assignment:

A marketing group developing online ad space is offering two payment options:
Option 1: $210 set up fee plus $10/inch of the ad
Option 2: No set up fee but $25/inch of the ad.

Let x = inches of the proposed ad, for example, x = 2 for a column ad that is 2" long.

a) Write a mathematical model representing the total ad cost, C, in terms of x for the following:
Option 1: C=_________________
Option 2: C=_________________

b) How many inches of ad space would need to be purchased for option 1 to be less than option 2? Set up an inequality and show your work algebraically using the information in part a. Summarize your findings in a brief sentence.

4) Use the graph of y = x2 + 4x - 5 to answer the following:

a) Without solving the equation or factoring, determine the solution(s) to the equation, using only the graph.

Explain how you obtained your answer(s) by looking at the graph:

b) Does this function have a maximum or a minimum?

Explain how you obtained your answer by looking at the graph:

c) What are the coordinates of the vertex in (x, y) form?

d) What is the equation of the line of symmetry for this graph?

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Writing mathematical model for total cost
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