Question

Zaheed enjoys walking his dog, Basil, each afternoon. Zaheed typically walks
blocks around the neighborhood, which takes about 45 minutes. Today, on his walk around the neighborhood with Basil, Zaheed noted that Basil barked at
other dogs. Zaheed wonders if he can predict how many dogs Basil will bark at tomorrow on the way to the dog park, which is
blocks away.

What assumptions would Zaheed have to make in order to use a proportional equation to make his prediction?

Answer 1

For Zaheed to use a proportional equation to make his prediction, he will need to make the following assumptions:

• Each block has the same number of dogs. i.e. 20 dogs per block.
• The route to the dog park also has 20 dogs per block.
• The proportional equation would be $y = 20x$

A proportional relationship relates the change of one quantity to the other which changes at similar rate.

A proportional equation can be modelled as:

$y = kx$

In other for Zaheed to be able to use a proportional equation to make his prediction, he can make the following assumptions:

• He can assume that each block he walks his dog through has the same number of dogs, say 20 dogs per block in the neighborhood. This will be the the constant of proportionality, k, in the equation.

• Zaheed will also assume the number of dogs in every block that is on the way to the dog park is the same as the blocks in his usual route.

The proportional equation he will use to make his predictions will be:

$y = 20x$

Where,

y = number of dogs Basil will bark at

x = number of blocks Zaheed walks Basil through to the dog park.

k = 20 = constant of proportionality.

In summary, for Zaheed to make his prediction, he will need to make the following assumptions:

• Each block has the same number of dogs. i.e. 20 dogs per block.
• The route to the dog park also has 20 dogs per block.
• The proportional equation would be $y = 20x$

Learn more here:

https://brainly.com/question/19289773