Question

A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 7, 14, 21, 28, 35. Points are shown on ordered pairs 0, 0 and 1, 7 and 2, 14 and 3, 21 and 4, 28. These points are connected by a line. The label on the x axis is Lemon-Lime Soda in cups. The title on the y axis is Strawberry Juice in cups. What is the ratio of the number of cups of strawberry juice to the number of cups of lemon-lime soda? 1:28 28:1 7:1 1:7

Answer 1

The ratio of the number of cups of strawberry juice to the number of cups of lemon-lime soda is 7 : 1 ⇒ 3rd answer

Step-by-step explanation:

In A graph:

• Points are shown on ordered pairs (0 , 0) , (1 , 7) , (2 , 14) , (3 , 21) and (4 , 28) are connected by a line
• The label on the x-axis is Lemon-Lime Soda in cups
• The label on the y-axis is Strawberry Juice in cups

We need to find the ratio of the number of cups of strawberry juice to the number of cups of lemon-lime soda

∵ The points are connected by line

∵ The x-axis represents the number of cups of Lemon-Lime Soda

∵ The y-axis represents the number of cups of Strawberry Juice

∴ The ratio of the the number of cups of strawberry juice to the

   number of cups of lemon-lime soda equal to the slope of the line

∵ The slope of the line $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

- You can calculate the slope of a line from any two points lie on it

∵ Points (1 , 7) and (2 , 14) lie on the line

∵ $x_{1}$ = 1 and $x_{2}$ = 2

∵ $y_{1}$ = 7 and $y_{2}$ = 14

∴ $m=\frac{14-7}{2-1}=\frac{7}{1}$

∵ The ratio of the number of cups of strawberry juice to the number

  of cups of lemon-lime soda = m

∴ The ratio of the number of cups of strawberry juice to the number

  of cups of lemon-lime soda = 7 : 1

The ratio of the number of cups of strawberry juice to the number of cups of lemon-lime soda is 7 : 1

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