Answer:
B- For an equal number of servings, the bananas will have three times as much sugar
Explanation:
The complete question is
A carrot has 5 grams of sugar per serving. A banana has 15 grams of sugar per serving. Which statement is true?
A- There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas.
B- For an equal number of servings, the bananas will have three times as much sugar.
C- For an equal number of servings, the bananas will always have 10 more grams of sugar.
D- The amount of sugar in two servings of carrots is 30 grams.
Verify each statement
A- There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas
The statement is False
Because
In 10 servings of carrots there are 10(5)=50 grams of sugar
In 5 servings of banana there are 5(15)=75 grams of sugar
therefore
50 g < 75 g
B- For an equal number of servings, the bananas will have three times as much sugar
The statement is true
Because
In one serving of carrots there are 5 grams of sugar
In one serving of bananas there are 15 grams of sugar
The ratio of grams of sugar in a serving of bananas to grams of sugar in a serving of carrots is 15:5
Simplify
3:1
therefore
An equal number of servings, the bananas will have three times as much sugar
C- For an equal number of servings, the bananas will always have 10 more grams of sugar.
The statement is False
Because
In 10 servings of carrots there are 10(5)=50 grams of sugar
In 10 servings of banana there are 10(15)=150 grams of sugar
so
![50+10\\eq 150](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ao6eycg01q64ta3wtegqrhp6p9urvmalzv.png)
D- The amount of sugar in two servings of carrots is 30 grams
The statement is False
Because
In 2 servings of carrots there are 2(5)=10 grams of sugar
![10\\eq 30](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vminjdzmtlb8uadc9vmc9w4ws5ovt07iy0.png)