2. Elena has some bottles of water that each holds 17 fluid ounces. a. Write an equation that relates the number of bottles of water \( (b) \) to the total volume of water \( (w) \) in fluid ounces. b. How much water is in 51 bottles? c. How many bottles does it take to hold 51 fluid ounces of water?

a. The equation that relates the number of bottles of water \( (b) \) to the total volume of water \( (w) \) in fluid ounces can be written as: \[ w = 17b \] where \( w \) is the total volume of water in fluid ounces and \( b \) is the number of bottles. b. To find out how much water is in 51 bottles, we can substitute \( b = 51 \) into the equation: \[ w = 17b = 17 \times 51 \] Calculating this gives: \[ w = 867 \text{ fluid ounces} \] c. To find out how many bottles it takes to hold 51 fluid ounces of water, we can rearrange the equation to solve for \( b \): \[ b = \frac{w}{17} \] Substituting \( w = 51 \): \[ b = \frac{51}{17} = 3 \] So, it takes 3 bottles to hold 51 fluid ounces of water.