Relating linear contexts to graph features - Questions

1.A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. When he started his diet, he weighed \(79.5\). He gained weight at a rate of \(5.5\) kilograms per month.

Let \(y\) represent the sumo wrestler's weight (in kilograms) after \(x\) months.

Which of the following could be the graph of the relationship?

Choose 1 answer:

A.

B.

C.

D.


2. Conrad read a \(180\)-page book cover to cover in a single session, at a constant rate. It took him \(6\) hours.

Let \(y\) represent the number of pages left to read after \(t\) hours.

Which of the following information about the graph of the relationship is given?

Which of the following information about the graph of the relationship is given?

Choose 1 answer:

A. Slope and \(x\)-intercept

B. Slope and \(y\)-intercept

C. Slope and a point that is not an intercept

D. \(x\)-intercept and \(y\)-intercept

E. \(y\)-intercept and a point that is not an intercept

F. Two points that are not intercepts


3. Nour drove from the Dead Sea up to Amman, and her altitude changed at a constant rate. When she began driving, her altitude was \(400\) meters below sea level. When she arrived in Amman \(2\) hours later, her altitude was \(1000\) meters above sea level.

Let \(y\) represent Nour's altitude (in meters) relative to sea level after \(x\) hours.

Which of the following could be the graph of the relationship?

Choose 1 answer:

A.

B.

C.

D.


4. Hiro painted his room. After \(3\) hours of painting at a rate of \(8\) square meters per hour, he had \(28\) square meters left to paint.

Let \(y\) represent the area (in square meters) left to paint after \(x\) hours.

Which of the following information about the graph of the relationship is given?

Choose 1 answer:

A. Slope and \(x\)-intercept

B. Slope and \(y\)-intercept

C. Slope and a point that is not an intercept

D. \(x\)-intercept and \(y\)-intercept

E. \(y\)-intercept and a point that is not an intercept

F. Two points that are not intercepts


5. A charity organization had a fundraiser where each ticket was sold for a fixed price. After selling \(200\) tickets, they had a net profit of \($12,000\). They had to sell a few tickets just to cover necessary production costs of \($1,200\).

Let \(y\) represent the net profit (in dollars) when they have sold \(x\) tickets.

Which of the following could be the graph of the relationship?

Choose 1 answer:

A.

B.

C.

D.


6. A charity organization had to sell \(18\) tickets to their fundraiser just to cover necessary production costs. They sold each ticket for \($45\).

Let \(y\) represent the net profit (in dollars) when they have sold \(x\) tickets.

Which of the following information about the graph of the relationship is given?

Choose 1 answer:

A. Slope and \(x\)-intercept

B. Slope and \(y\)-intercept

C. Slope and a point that is not an intercept

D. \(x\)-intercept and \(y\)-intercept

E. \(y\)-intercept and a point that is not an intercept

F. Two points that are not intercepts


7. Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into the ground. Let \(y\) represent Mr. Mole's altitude (in meters) relative to the ground after \(x\) minutes.

Which of the following could be the graph of the relationship?

Choose 1 answer:

A.

B.

C.

D.