Question

Nyasia spends a total of 7.5 hours playing sports each week. Basketball takes a total of 3.25 hours each week. If she plays sports for 4 days each week, write and solve an inequality that shows the average amount of tie per day she spends on OTHER sports.

Answer 1

The Inequality which shows Amount of time spent on other sports each day is
`x\leq (4.25)/(4)`.

Nyasia spends approximately 1 hour each day on Other sports.

Explanation:

Total number of hours spent on sports each week =7.5 hrs

Time spent on basket ball each week = 3.25 hours

Number of days spent on sports = 4 days.

We need to find amount of time spent on other sports each day.

Let amount of time spent on other sports each day be 'x'.

First we will find amount of time spent on other sports each week.

Amount of time spent on other sports each week can be calculated by Subtracting Total number of hour spent on sports each week minus Time spent on basket ball each week.

Amount of time spent on other sports each week = 7.5 -3.25 = 4.25 hrs.

Now we can say amount of time spent on other sports each day we will less than or equal to Amount of time spent on other sports each week divided by number of days.

Framing in equation form we get;

`x\leq (4.25)/(4)`

Hence The Inequality which shows Amount of time spent on other sports each day is
`x\leq (4.25)/(4)`.

ON solving the inequality we get;

`x\leq (4.25)/(4)\\\\x\leq1.0625\ hrs`.

Hence we can say Nyasia spends approximately 1 hour each day on Other sports.