fascinated by ocean life, wanda wants to put a saltwater aquarium in her bedroom. she needs to make sure she…

fascinated by ocean life, wanda wants to put a saltwater aquarium in her bedroom. she needs to make sure she buys a big enough tank to grow her collection of fish over time. this table shows the relationship between the number of fish in wandas collection, x, and the smallest tank size (in gallons), y, she needs to safely keep her fish. x (fish) y (gallons) 1 23 2 46 4 92 5 115 according to the values in the table, do x and y have a proportional relationship? yes no write an equation for the relationship between x and y. simplify any fractions. y =

fascinated by ocean life, wanda wants to put a saltwater aquarium in her bedroom. she needs to make sure she buys a big enough tank to grow her collection of fish over time. this table shows the relationship between the number of fish in wandas collection, x, and the smallest tank size (in gallons), y, she needs to safely keep her fish. x (fish) y (gallons) 1 23 2 46 4 92 5 115 according to the values in the table, do x and y have a proportional relationship? yes no write an equation for the relationship between x and y. simplify any fractions. y =

Answer

Explanation:

Step1: Check the ratio of y to x

For the first pair: $\frac{y}{x}=\frac{23}{1} = 23$. For the second pair: $\frac{y}{x}=\frac{46}{2}=23$. For the third pair: $\frac{y}{x}=\frac{92}{4} = 23$. For the fourth pair: $\frac{y}{x}=\frac{115}{5}=23$. Since the ratio $\frac{y}{x}$ is constant (equal to 23) for all pairs, x and y have a proportional relationship.

Step2: Write the equation

The general form of a proportional - relationship is $y = kx$, where k is the constant of proportionality. Since $k = 23$, the equation is $y=23x$.

Answer:

yes $y = 23x$