QuestionLiam's class plants bamboo. Write the slope-intercept equation $y=20x+10$ and explain the slope and $y$ -intercept.

Studdy Solution

STEP 1

Assumptions1. The equation given is $y=20x+10$ . The variable $y$ represents the height of the bamboo plant3. The variable $x$ represents the number of days after the bamboo plant has been planted4. The slope of the line represents the average growth of the bamboo plant per day5. The $y$ -intercept represents the height of the bamboo plant when it is first planted (at $x=0$ )

STEP 2

We are given the equation in slope-intercept form, which is $y=mx+b$ , where $m$ is the slope and $b$ is the $y$ -intercept.
In this case, the equation is $y=20x+10$ .

STEP 3

The slope of the line, which is the coefficient of $x$ , is20. This means that for each day that passes, the bamboo plant grows by an average of20 inches.
$m =20$

STEP 4

The $y$ -intercept of the line, which is the constant term, is10. This represents the height of the bamboo plant when it is first planted, or when $x=0$ .
$b =10$

STEP 5

So, the equation that Liam could use to predict the height $y$ of his bamboo after $x$ days is $y =20x +10$ In this equation, the slope20 represents the average number of inches a bamboo plant grows each day, and the $y$ -intercept10 represents the height of the plant when it is first planted.

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