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A carpet cleaner charges $59 for a service call and $30 for each room cleaned. A customer does not want to spend more than $125 for having the carpets in his house cleaned. Choose the correct inequality for the situation and the total number of rooms the customer can afford to have cleaned.

Respuesta :

MrRoyal

Answer:

[tex]59 + 30c \leq 125[/tex]

2 rooms

Step-by-step explanation:

Given

[tex]Base\ Amount = \$59[/tex]

[tex]Additional = \$30[/tex] per carpet

[tex]Customer\ Budget = \$125[/tex]

Required

Write an inequality to determine the situation

Represent the number of carpets with c

First, we need to determine an expression for the cleaner's charges:

This is:

[tex]59 + 30 * c[/tex]

[tex]59 + 30c[/tex]

Since the customer's budget do not exceed $125.

This implies that the cleaner's charges must be less than or equal to the budget.

So, we have:

[tex]59 + 30c \leq 125[/tex]

Solving further: [Collect Like Terms]

[tex]30c \leq 125 - 59\\[/tex]

[tex]30c \leq 66[/tex]

Divide through by 30

[tex]c \leq 66/30[/tex]

[tex]c \leq 2.2[/tex]

Since number of rooms can't be fraction;

The maximum number of rooms the customer can afford is 2

Answer:

No sé exactamente de qué se trata el ejercicio, hay muchas respuestas posibles

Step-by-step explanation:

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