Question

View the tables below and answer the questions.1. What expression can we write to find the height of the water after 10 minutes?2. What expression can we write to find the number of possible outcomes for 7 coins?

Answer 1

EXPLANATION

As we can see in the following graph, this table is represented by a line:

We can get the equation by applying the line formula:

y = mx + b

Where m is the slope and b is the y-intercept

Computing the slope by taking two any points, as for instance, (x_1,y_1)= (0,50) and (1,53):

$\text{Slope}=\frac{53-50}{1-0}=\frac{3}{1}=3$

Now, plugging in one point into the generic equation with the given slope give us the value of b, as follows:

$50=3(0)+b$$50=b$

In conclusion, the equation is:

y = 3x + 50