Question

jonathan practices the piano 658 minutes in 2 weeks. if t represents the total time he practices for any number of days, d, write a proportional equation for t in terms of d that matches the context.

Explanation:

Step1: Find minutes per week

First, find the number of minutes practiced per week. Since 2 weeks have 658 minutes, per week it's $\frac{658}{2} = 329$ minutes per week.

Step2: Find minutes per day

A week has 7 days, so minutes per day is $\frac{329}{7} = 47$ minutes per day.

Step3: Write proportional equation

Since the rate is constant (proportional), the equation is $t = 47d$ (because total time $t$ is rate per day times number of days $d$).

Answer:

$t = 47d$