A bank offers two checking account plans. Plan A has a base...

A bank offers two checking account plans. Plan A has a base service charge of $$\$ 4.00$$ per month plus $10 ¢$ per check. Plan B charges a base service charge of $$\$ 2.00$$ per month plus 15 e per check. a. Write models for the total monthly costs for each plan if $x$ checks are written. b. Use a graphing utility to graph the models in the same $[0,50,1]$ by $[0,10,1]$ viewing rectangle. c. Use the graphs (and the intersection feature) to determine for what number of checks per month plan A will be better than plan B. d. Verify the result of part (c) algebraically by solving an inequality.

A bank offers two checking account plans. Plan A has a base service charge of $$\$ 4.00$$ per month plus $10 ¢$ per check. Plan B charges a base service charge of $$\$ 2.00$$ per month plus 15 e per check.
a. Write models for the total monthly costs for each plan if $x$ checks are written.
b. Use a graphing utility to graph the models in the same $[0,50,1]$ by $[0,10,1]$ viewing rectangle.
c. Use the graphs (and the intersection feature) to determine for what number of checks per month plan A will be better than plan B.
d. Verify the result of part (c) algebraically by solving an inequality.

A bank offers two checking account plans. Plan A has a base service charge of 4.00 dollars per month plus $10 \not c$ per check. Plan $\mathbf{B}$ charges a base service charge of 2.00 dollars per month plus $15 \not c$ per check. a. Write models for the total monthly costs for each plan if $x$ checks are written. b. Use a graphing utility to graph the models in the same $[0,50,10]$ by $[0,10,1]$ viewing rectangle. c. Use the graphs (and the intersection feature) to determine for what number of checks per month plan A will be better than plan B. d. Verify the result of part (c) algebraically by solving an inequality.

Equations and Inequalities

Linear Inequalities and Absolute Value Inequalities

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