A seedling grows at a rate of 1.5 cm each week. Before the seedling was planted in the ground, it measured 7 cm. Write an equation that model’s the flower’s height h after x weeks. What does the y-intercept represent?

y=1.5x+7

1.5x = represents how much the seedling grows in x amount of weeks

7 = is the height before it was planted. It is constant. It is also your y-intercept because the equation is in y=mx+b form in which b is the y-intercept

You can replace y with h since it says an equation for the flower's height "h". The equation is still the same though

To write an equation that models the flower's height, we can use the equation:

h = mx + b

Where:
h represents the flower's height after x weeks.
m represents the rate of growth, in this case, 1.5 cm.
b represents the initial height of the seedling before planting, which is 7 cm.

Plugging in the values:
h = 1.5x + 7

The y-intercept, represented by b, is the initial height of the seedling before it started to grow. In this case, the y-intercept is 7 cm.

To write an equation that models the flower's height (h) after x weeks, we can use the equation:

h = mx + b

Where:
h represents the height of the seedling after x weeks.
m represents the growth rate of the seedling (1.5 cm/week).
x represents the number of weeks.
b represents the initial height of the seedling before it was planted in the ground (7 cm).

So, the equation that models the flower's height is:

h = 1.5x + 7

Now, let's consider the y-intercept, which is represented by b in the equation. The y-intercept is the value of h when x is equal to 0. In this case, when x is 0, it means that there have been 0 weeks, i.e., the seedling has not started growing yet.

Therefore, the value of b, which is the initial height of the seedling, represents the height of the seedling before it was planted in the ground. In this case, the y-intercept (b = 7) represents the initial height of the seedling, which is 7 cm.