Stuck in problem!
this graph shows the value (in dollars) of a car stereo at time t (in years) the time t=0 represents when the stereo was purchased.

a. what does the y-intercept mean in terms of the problem? include the time and the value of the stereo in your answer.

b. what does v(5)=98 mean in terms of the problem?

c. is the graph increasing or decreasing? what does this mean in terms of the problem?

See explanation!

Step-by-step explanation:

We are given a graph that shows the value (in dollars) of a car stereo at time t (in years) the time t=0 represents when the stereo was purchased.

A. What does the y-intercept mean in terms of the problem? Include the time and the value of the stereo in your answer.

The graph given shows an exponential expression with a y-interept at

dollars.

This denotes that the initial value of a car stereo at year 0 (i.e. when it first entered the market) was at 300 dollars.

B. What does V(5)=98 mean in terms of the problem?

Looking at the graph for , we know that we are looking at a point equal to .

This denotes that at year , the car stereo value was dollars. Thus since the stereo entered the market the value of the car stereo has decreased by over ≈ 202 dollars.

C. Is the graph increasing or decreasing? What does this mean in terms of the problem?

The graph is Exponentially Decreasing suggesting that as the year increase, the value of the car stereo is quickly decreasing by larger amounts and not in a linear manner (i.e. the value does not decrease by the same amount every year).

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".