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You want to know the number of minutes that you can use on your $45.00 phone card. The card company chargesyou $0.50 for the first minute and $0.05 for cach additional minute. Solve the formula $45.00 = $0.50 + $0.05mfor m. Justify each step with an algebraic property of equality.

Respuesta :

[tex]45.00=0.50+0.05m[/tex]

To solve m:

1. Subtract 0.50 in both sides of the equation (subtraction property of equality):

[tex]\begin{gathered} 45.00-0.50=0.50-0.50+0.05m \\ 44.5=0.05m \end{gathered}[/tex]

2. Divide both sides of the equation into 0.05 (Division property of equality):

[tex]\begin{gathered} \frac{44.5}{0.05}=\frac{0.05}{0.05}m \\ \\ 890=m \end{gathered}[/tex]

3. Rewrite the equation (Symmetric property):

[tex]m=890[/tex]Then, you can use 890 minutes on your $45.00 phone card.

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