Question

1. select all the situations that can be represented by the tape diagram.

a family of 5 drove to a concert. they paid $4 for parking, and all of their tickets were the same price. they paid $99 in total.
5 bags of marbles each contain 4 large marbles and the same number of small marbles. altogether, the bags contain 99 marbles.
clare buys 4 bouquets, each with the same number of flowers. the florist puts an extra flower in each bouquet before she leaves. she leaves with a total of 99 flowers.
andre babysat 5 times this past month and earned the same amount each time. to thank him, the family gave him an extra $4 at the end of the month. andrea earned $99 from babysitting.
han is baking five batches of muffins. each batch needs the same amount of sugar in the muffins, and each batch needs four extra teaspoons of sugar for the topping. han uses 99 total teaspoons of sugar.

Explanation:

Step1: Define the tape diagram equation

The tape diagram represents $5w + 4 = 99$, where 5 equal parts of $w$ plus a single part of 4 equal 99.

Step2: Analyze first scenario

Family of 5: 5 tickets ($w$ each) + $4 parking = $99. This matches $5w + 4 = 99$.

Step3: Analyze second scenario

5 bags: Each has $w$ small + 4 large marbles. Total marbles: $5(w+4)=99$, which expands to $5w + 20 = 99$. Does not match.

Step4: Analyze third scenario

4 bouquets: Each has $w$ flowers +1 extra. Total: $4(w+1)=99$, expands to $4w + 4 = 99$. Does not match.

Step5: Analyze fourth scenario

Andre: 5 babysitting jobs ($w$ each) + $4 extra = $99. This matches $5w + 4 = 99$.

Step6: Analyze fifth scenario

5 muffin batches: Each has $w$ sugar +4 topping sugar. Total: $5(w+4)=99$, expands to $5w + 20 = 99$. Does not match.

Answer:

• A family of 5 drove to a concert. They paid $4 for parking, and all of their tickets were the same price. They paid $99 in total.
• Andre babysat 5 times this past month and earned the same amount each time. To thank him, the family gave him an extra $4 at the end of the month. Andrea earned $99 from babysitting.