Question

Parsons Bank offers two​ checking-account plans. The No Frills plan charges 35cents per check whereas the Simple Checking plan costs ​$ 6per month plus 15cents per check. For what number of checks per month will the Simple Checking plan cost​ less?

Answer 1

Answer:

No frills = $0.25(x)

simple = $6 + $0.05(x)

set equal to each other

0.025(x) = 6 + 0.05(x)

rearrange like terms together

0.025(x) - 0.05(x) = 6

0.020(x) = 6

x =300

Simple plan will be cheaper once you use more than 300 checks

Step-by-step explanation:

Answer 2

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Answer:

For more than 35 checks the simple checking plan cost less.

Step-by-step explanation:

Let for x number of checks per month will the simple checking plan cost less.

Given,

In no frill checking plan,

Per month charges = $ 0,

Charges for per check = 40 cents = $ 0.40,

Thus, the cost for x checks in a month = 0 + 0.40x = 0.40x

In simple checking plan,

Per month charges = $ 7,

Charges for per check = 20 cents = $ 0.20,

Thus, the cost for x checks in a month = 7 + 0.20x

Hence, we can write,

0.40x > 7 + 0.20x

0.20x > 7

x > 35

Therefore, for more than 35 checks the simple checking plan cost less.