Interpreting a Function

What is the y-intercept of this situation?

• 400

• 150

• 50

• -50

During what time (seconds) was the balloon decreasing in length?

• 0 - 12 seconds

• 0 - 15 seconds

• 9 - 10 seconds

• 12.5 - 15 seconds

What was the maximum length of the balloon (inches) before it started decreasing in length?

• 3 inches

• 12 inches

• 15 inches

• 15 seconds

According to the graph, how many different times did the length of the balloon increase?

• 5

• 4

• 3

• 15

• The a value of 500 is the amount of medication at time t, and the b value of 1/2 represents that it decreases every half hour.

• The a value of 500 times the b value of 1/2 is always the amount of medication that will remain in the body.

• The a value of 1/2 represents the original amount of medication, and the b value of 500 represents that for every time interval, t, the amount of medication increases by 500.

• The a value of 500 represents the original amount of medication, and the b value of 1/2 represents that for every time interval, t, the amount of medication decreases by half.

The number of bacteria colonies on a petri dish can be determined by this function. Which statement represents the meaning of the a and b values from the function in terms of the problem situation?

• When the observation began, there were 2 bacteria colonies and the number of bacteria colonies increased by a factor of 3 for every time interval, t.

• When the observation began, there were 3 bacteria colonies and the number of bacteria colonies increased by a factor of 2 for every time interval, t.

• • The final number of bacterial colonies is found by multiplying the 2 original colonies by 3.

• After 3 minutes, there are 2 bacteria colonies.

The resale value of a boat can be determined by this exponential function. If V(t) represents the resale value of the boat in dollars and t represents the number of elapsed years since the purchase of the boat, which statement represents the best interpretation of the meaning of the a and b values from the function in terms of the problem situation?

• The a value of 0.2 represents that for each elapsed year since its purchase, the value of the boat decreases by 80%, and the b value of $25,600 represents the original cost of the boat.

• The a value of $25,600 represents the original cost of the boat, and the b value of 0.2 represents that for each elapsed year since its purchase, the value of the boat decreases by 80%.

• The a value of 0.2 represents that for each elapsed year since its purchase, the value of the boat decreases by 20%, and the b value of $25,600 represents the original cost of the boat.

• The a value of $25,600 represents the original cost of the boat, and the b value of 0.2 represents that for each elapsed year since its purchase, the value of the boat decreases by 20%.

One of the most famous paintings of French impressionist Claude Monet is Impression, Sunrise. The value of the painting can be determined by this exponential function. If V(t) represents the value of the painting in dollars and t represents the number of elapsed years since the death of Claude Monet in 1926, which statement is the best interpretation of the meaning of the a and b values from the function in terms of the problem situation?

• The a value of $150 represents the value of the painting in 1926, and the b value of 1.3 represents that for each elapsed year since 1926, the value of the painting increases by 130%.

• The a value of $150 represents the value of the painting in 1926, and the b value of 1.3 represents that for each elapsed year since 1926, the value of the painting decreases by 30%.

• The a value of $150 represents the value of the painting in 1926, and the b value of 1.3 represents that for each elapsed year since 1926, the value of the painting increases by 30%.

• The a value of 1.3 represents that for each elapsed year since 1926, the value of the painting increases by 30%, and the b value of $150 represents the value of the painting in 1926.

• • The film’s revenue increased by $100,000,000 each weekend after the opening weekend.

• The film had an opening weekend revenue of $100,000,000, and each weekend after the opening weekend, the revenue increased by 60% from the previous weekend.

• The film’s revenue decreased by $100,000,000 each weekend after the opening weekend.

• The film had an opening weekend revenue of $100,000,000, and each weekend after the opening weekend, the revenue decreased by 40% of the previous weekend.

• The initial number of whales in the North Atlantic Ocean.

• The decay factor of the number of whales in the North Atlantic Ocean.

• The number of whales in the North Atlantic Ocean at the end of the first year.

• The growth factor of the number of whales in the North Atlantic Ocean.