Question

1. an occupational therapist (ot) is keeping a record on the physical activity of a cardiac patient. he records how far the patient walks each day. how many miles did the patient walk for the week? 6. an allergist gives a patient a series of injections to desensitize the patient for allergies. she administers ¼ milliliter (ml) of the solution the first week, ½ ml the second week, ¾ ml the third week, 1 ml the fourth week, and 1¼ ml the fifth week. how many milliliters did the patient receive in the five - week period?

Explanation:

Step1: Find total miles walked by patient

We need to add the fractions of miles walked each day.
\[

$$\begin{align*} &\frac{1}{4}+\frac{1}{3}+\frac{1}{2}+\frac{7}{12}+\frac{3}{4}+\frac{5}{6}+1\\ =&\frac{3 + 4+6 + 7+9+10 + 12}{12}\\ =&\frac{51}{12}\\ =&4\frac{3}{12}\\ =&4\frac{1}{4} \end{align*}$$

\]

Step2: Find total milliliters of solution for allergy - desensitization

We add the amounts of solution administered each week.
\[

$$\begin{align*} &\frac{1}{4}+\frac{1}{2}+\frac{3}{4}+1 + 1\frac{1}{4}\\ =&\frac{1+2 + 3+4+5}{4}\\ =&\frac{15}{4}\\ =&3\frac{3}{4} \end{align*}$$

\]

Answer:

1. The patient walked $4\frac{1}{4}$ miles in the week.
2. The patient received $3\frac{3}{4}$ milliliters of the solution in the five - week period.