functions and represenations

Two families go on vacation and each take a different route. The families record the average speeds of their routes as a relationship of distance (miles) and time (hours). The relationship of distance, d, and time, t, is represented differently for each person. Which TWO statements are true?

• The Smith family and Johnson family begin with equal initial distances.

• The Smith family begins with a greater initial distance than the Johnson family.

• The Smith family travels travels at a rate of 8 miles per hour faster than the Johnson family.

• The Johnson family begins with a greater initial distance than the Smith family.

• The Johnson family travels at a rate 8 miles per hour faster than the Smith family.

The rate of change is constant in the table. Find the rate of change. Explain what the rate of change means for the situation.

Which train travels at a greater rate of speed?

• Train A

• Train B

Valerie and Oscar are contestants on the Biggest Loser. Valerie's weight loss progress is represented by the function W = 235 - 2.5t, where W is her weight in pounds and t is the time in weeks.

Oscar's weight loss progress is represented by the table. Who weighed more at the beginning of the show?

• Valerie

• Oscar

Valerie and Oscar are contestants on the Biggest Loser. Valerie's weight loss progress is represented by the function W = 235 - 2.5t, where W is her weight in pounds and t is the time in weeks. Oscar's weight loss progress is represented by the table. Who is losing weight faster?

• Valerie

• Oscar

Which panda is growing faster?

• Mochi

• Kappa

Which equation could represent the total cost in relation to the number of hours?

Alex is renting a boat at Forest Park. There's a flat fee of $10 and each hour costs $2.

• $y=2x+10$

• $y=10x+2$

• $y=10+2$

• $y=x+2$

Which equation could represent the graph?

• $y=10x+5$

• $y=x+5$

• $y=5x+10$

• $y=5x$

Which equation could represent that table?

• $y=x+50$

• $y=50x$

• $y=100+50x$

• $y=100x+50$

Ryan builds 4 picnic tables each day. He started the week with 2 tables. Which equation best represents t, the total number of tables he will have after d days?

• t = 2d + 4

• d = 4t + 2

• t = 2d + 2d

• t= 4d + 2