Question

Toby exercises 14 hours a week. John exercises 20% more than Toby and Jenny exercises two more hours than John. Which expression represents how much Jenny exercises in w weeks?

Answer 1

The expression t = 18.8 w represents how much Jenny exercises in w weeks

Explanation:

Step 1 :

Number of hours Toby exercises a week = 14

Number of hours John exercises a week = 20% more than Toby = 20% of 14 + 14 = = 14 + 2.8 = 16.8

Number of hours Jenny exercises a week = two more hours than John = 2 + 16.8 = 18.8 hours

We need to determine the expression which represents how much Jenny exercises in w weeks

Step 2 :

The hours that Jenny exercises in w weeks can be determined by multiplying the total hours he exercises a one week by the total number of weeks

Hence

t = 18.8 w

where t represents the total hours Jenny exercises in one week.

Step 3 :

Answer :

The expression t = 18.8 w represents how much Jenny exercises in w weeks

Answer 2

(18.8)w is the expression that represents how much Jenny exercises in w weeks.

Explanation:

Toby exercises a week = 14 hours

John exercises 20% more than Toby = 120 % of 14

⇒ (120/100)×14

⇒ (6/5)×14

⇒ 16.8 hours.

John exercises a week = 16.8 hours

Jenny exercises two more hours than John.

Jenny exercises per week = 16.8 + 2 = 18.8 hours.

The expression that represents how much Jenny exercises in w weeks = Number of hours in one week × Number of weeks(w)

⇒ 18.8 × w