while relaxing on her front porch, victoria notices a garden snail crawling on the sidewalk. victoria is…

while relaxing on her front porch, victoria notices a garden snail crawling on the sidewalk. victoria is amazed at how slowly the snail moves, so she starts timing it. there is a proportional relationship between the amount of time (in minutes) that victoria spends timing the snail, x, and the distance (in feet) that the snail moves, y. in 15 minutes, the snail moves only 29.4 feet. write the equation for the relationship between x and y. y =

while relaxing on her front porch, victoria notices a garden snail crawling on the sidewalk. victoria is amazed at how slowly the snail moves, so she starts timing it. there is a proportional relationship between the amount of time (in minutes) that victoria spends timing the snail, x, and the distance (in feet) that the snail moves, y. in 15 minutes, the snail moves only 29.4 feet. write the equation for the relationship between x and y. y =

Answer

Answer:

$y = 1.96x$

Explanation:

Step1: Recall the proportional relationship formula

The formula for a proportional relationship is $y=kx$, where $k$ is the constant of proportionality.

Step2: Find the value of $k$

We know that when $x = 15$ minutes, $y=29.4$ feet. Substitute these values into $y = kx$: $29.4=k\times15$. Then solve for $k$: $k=\frac{29.4}{15}=1.96$.

Step3: Write the final equation

Substitute $k = 1.96$ back into $y=kx$. So the equation is $y = 1.96x$.