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Algebra Problems

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.
Show your work here:
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?


Solution Preview

Option 1: C= 10x + 210
Option 2: C= 25x

Answer: x > 14 inches. More than 14 inches should be purchased so that option 1 is cheaper than option ...

Solution Summary

This posting contains solution to the given problems.