5/28 LSAE_5/28

• 12.4 feet

• 5.443 feet

• 2.9 feet

• 8.875 feet

3. 3. Part A

A scientist is studying the number of cells in a colony of bacteria growing on a surface in her lab. The table shows the number of bacteria cells after hours passed. The data can be modeled by an exponential function.

3. 3. Part B

A scientist is studying the number of cells in a colony of bacteria growing on a surface in her lab. The table shows the number of bacteria cells after hours passed.

Part B: Which value best estimates the number of bacteria cells after 6.5 hours?

Round to the nearest hundredth.

Mathematical Equivalence

OFF

4.

Keisha planted a new plant in her garden. She tracked the number of hours in sunlight and the growth of the plant. The table shows the data for several hours. A linear function can be used to model the data.

Which function best models the data in the table?

• g(x) = 2.3x + 3.5

• g(x) = 4.6x + 1.3

• g(x) = .6x + 2

• g(x) = 2.5x + 1

5.

Mr. Barker had his students conduct an

experiment where they recorded the

temperature of a chemical reaction at

different times. The table shows the data for several minutes. A quadratic function can be used to model the data.

Write a function that models the data in the table?

Round to the nearest hundredth.

Mathematical Equivalence

ON

Alicia, the manager of a gym counts the number of memberships that are each month since the gym has opened. The table below shows some of her data. A linear function can be used to model the data. Month Since Opening | 5 | 10 | 15 | 20 | 25 Number of Memberships | 36 | 46 | 52 | 60 | 68 Part A: Write an equation that models the number of members sold x months after opening. Round to the nearest hundredth.

• y = 1.6x + 28

• y = 2.5x + 20

• y = 1.2x + 32

• y = 1.8x + 30

7.

Erica invested $6,000 in a savings account. The following table shows the amount of money m(x), Erica has after x years.

Based on the table which exponential function would best fit the data?

8.

A person dives into a pool from its edge to swim to the other side. The table shows the depth in feet of the person from the surface of the water after x seconds. The data can be modeled by a quadratic function.

After 7 seconds, what will be the depth of the person from the surface of water?

• -7.63

• -9.03

• -7.24

• -7.49

9.

Luis has a table of values that represents an exponential function.

Based on the information in the table, which value best represents the value of y, when x is 8?

• 49.8

• 65.3

• 25.3

• 9.7

10.

The water level, in feet, of a lake decreased due to evaporation. A scatterplot is drawn to show the height of the water over a ten-day period. The equation for a line of best fit is y = -0.13x + 24.04, where y represents the height of the water in the lake, and x represents the day. Using the line of best fit, which of the following is the BEST estimate of the height, in feet, of the water in the lake on Day 14?

• 22.4

• 24.1

• 22.2

• 25.9