Question

I reallyyy need help! What's a real world example of an equation which the constant of porportionality is 15? What would the graph look like?

Answer 1

If a car is moving with the speed of 15 mph then write the equation that models the relation between the distance traveled in miles (s) and the time of travel in hours (t).

s = 15t.

The graph of the equation is a straight line passing through the origin (0,0) and having slope 15.

Explanation:

We have to write a real-world example of an equation where the constant of proportionality is 15.

The example is, if a car is moving with a speed of 15 mph then write the equation that models the relationship between the distance traveled in miles (s) and the time of travel in hours (t).

The equation that models this problem is s = 15t.

Here, s is proportional to t and the constant of proportionality is 15 having unit mph.

The graph of the equation is a straight line passing through the origin (0,0) and having slope 15.

`\tan \theta = 15`

⇒
`\theta = \tan ^(- 1) (15) = 86.2^(\circ)`

Hence, the line makes an angle of 86.2° with the positive direction of x-axis. (Answer)