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PLEASE HELP URGENT Nicole is choosing between two exercise routines.In Routine #1, she does only running, burning 18.5 calories per minute.In Routine #2, she burns 22 calories walking. She then runs at a rate that burns 16.3 calories per minute.For what amounts of time spent running will Routine #1 burn more calories than Routine #2?Use t for the number of minutes spent running, and solve your inequality for t.

Respuesta :

We know that

• She burns 18.5 calories per minute in routine 1.

,

• She burns 22 calories walking, and 16.3 calories per minutes running, in routine 2.

Based on the given information, we can express the following.

[tex]18.5t>22+16.3t[/tex]

Now, we solve the inequality for t.-

[tex]\begin{gathered} 18.5t-16.3t>22 \\ 2.2t>22 \\ t>\frac{22}{2.2} \\ t>10 \end{gathered}[/tex]

Therefore, Nicole has to run more than 10 minutes to burn more calories with routine 1.

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