Question

Write an expression for the height of the flag after t seconds

Answer 1

2t + 16

Step-by-step explanation:

The graph shows that there is a linear relationship between height and time. So, we need to find the equation of a line with the form:

h = mt + b

Where m is the slope of the line and b is the y-intercept.

So, b is equal to the value of the height after 0 seconds, therefore, b or the y-intercept is equal to 16

b = 16

On the other hand, the slope can be calculated as:

`m=(h_2-h_1)/(t_2-t_1)`

Where t1 and t2 are two values of time in the table and h1 and h2 are their respective values of height.

So, if we replace t1 by 1, h1 by 18, t2 by 2, and h2 by 20, we get:

`m=(20-18)/(2-1)=(2)/(1)=2`

Therefore, the expression for the height of the flag after t seconds is:

h = 2t + 16