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aev [14]
3 years ago
5

Melissa exercises for 20 minutes every day. She decides to increase her daily exercise time by 5 minutes each week. However, acc

ording to her doctor’s orders, she can spend no more than 45 minutes a day exercising. For how many weeks can Melissa increase her exercise time this way?
Mathematics
1 answer:
Korolek [52]3 years ago
3 0

Answer:  5

Step-by-step explanation:

Given: Melissa exercises for 20 minutes every day.

She decides to increase her daily exercise time by 5 minutes each week.

Let x be the number of weeks can Melissa increase her exercise time this way.

Then according to the question, we have the inequality as :_

Hence, the number of weeks can Melissa increase her exercise time this way = 5.

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\bf ~~~~~~\textit{initial velocity in meters} \\\\ h(t) = -4.9t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}\\ \qquad \textit{of the object}\\ h=\textit{object's height}\\ \qquad \textit{at "t" seconds} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf h(x)=-5(\stackrel{\mathbb{F~O~I~L}}{x^2-8x+16})+180\implies h(x)=-5x^2+40x-80+180 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill h(x)=-5x^2+\stackrel{\stackrel{v_o}{\downarrow }}{40} x+\stackrel{\stackrel{h_o}{\downarrow }}{\boxed{100}}~\hfill

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