Question

Colin loves to play the piano but doesn't like practicing the exercises his piano teacher assigns. Colin

Answer 1

The linear equation for the number of cookies he receives, for x hours practicing the piano, is:

$y = x + 10$

A linear function has the format given by:

$y = mx + b$

In which:

• m is the slope, which is the rate of change.
• b is the y-intercept, which is the value of y when x = 0.

In this problem:

• We have two points: (5,15) and (10,20).
• The slope is given by change in y divided by change in x, then:

$m = \frac{20 - 15}{10 - 5} = \frac{5}{5} = 1$

Then

$y = x + b$

Point (5,15) means that when $x = 5, y = 15$, which is used to find b.

$15 = 5 + b$

$b = 10$

The, the function is:

$y = x + 10$

A similar problem is given at brainly.com/question/16302622