after hip surgery, your physical therapist tells you to slowly return to walking. the therapist suggests…

after hip surgery, your physical therapist tells you to slowly return to walking. the therapist suggests walking for 5 minutes each day for the first week and increasing that time by 5 minutes per day each week thereafter. how many weeks will it be before you are up to 45 minutes of walking per day?\n10\n11\n9\n13

after hip surgery, your physical therapist tells you to slowly return to walking. the therapist suggests walking for 5 minutes each day for the first week and increasing that time by 5 minutes per day each week thereafter. how many weeks will it be before you are up to 45 minutes of walking per day?\n10\n11\n9\n13

Answer

Explanation:

Step1: Identify the arithmetic - sequence formula

The initial walking time $a_1 = 5$ minutes, the common difference $d = 5$ minutes, and we want to find $n$ when the $n$th - term $a_n=45$ minutes. The formula for the $n$th term of an arithmetic sequence is $a_n=a_1+(n - 1)d$.

Step2: Substitute the values into the formula

Substitute $a_1 = 5$, $d = 5$, and $a_n = 45$ into the formula: $45=5+(n - 1)\times5$.

Step3: Simplify the equation

First, expand the right - hand side: $45=5 + 5n-5$. Then, simplify the right - hand side to get $45 = 5n$.

Step4: Solve for $n$

Divide both sides of the equation $45 = 5n$ by 5: $n=\frac{45}{5}=9$.

Answer:

C. 9