Chapter 4.5, Problem 21STP

To determine

If Nikiabought a one-month membership to a fitness centre for $35 and each time she goesshe rents a locker for $0.25. If the amount spend by her at the fitness last month was $40.50 then find how many days she went there last month.

Answer to Problem 21STP

She went to fitness centre 22 times.

Explanation of Solution

Given information:Nikia bought a one-month membership to a fitness centre for $35 and each time she goes she rents a locker for $0.25. If the amount spend by her at the fitness last month was $40.50.

Calculation: According to question, she spent $35 membership for the fitness centre for one month.

Considering that she went to the fitness centre $\left(x\right)$ times and $\left(y\right)$ represents the amount spend by her last month which is equal to $40.50. Therefore according to question,

  $\begin{array}{c}y=mx+c\mathrm{......}\left(\text{using slope-point form}\right)\\ \left(40.50\right)=\left(0.25\right)x+35\\ \text{or, }\frac{1}{4}x=5.5\\ x=22\end{array}$

Hence, she went to fitness centre 22 times last month.