Adolphin is 42 feet underwater and ascends at a constant rate for 14 seconds until it reaches the surface. identify and interpret the intercepts for the situation.

Let us say that:

x = the time in seconds

y = depth of dolphin which is relative to the surface

The x intercept is located when y = 0, while the y intercept occurs when x = 0

We can see that at 0 seconds, the dolphin is still 42 feet below the surface:

x = 0, y = -42

The y intercept = -42 (0,-42)

After 14 seconds and at constant rate, the dolphin is now at the surface (0 below the surface):

x = 14, y = 0

The x intercept = 14 (14,0)

The slope is therefore m = (y2 - y1)/(x2 - x1) = 42/14 = 3.

Therefore, the formula for this line, in slope intercept form is

y = 3x - 42

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".