The table below gives the actual values of the population of a small island in the Pacific Ocean. The population is modeled by the equation $\mathrm{y}=75.2(1.055)^{\mathrm{x}}$, where $\mathrm{x}=0$ represents the population of the island in 1990.

For the point displayed in the calculator screen above, how does the model compare to the actual?
A) The display indicates that for the year 1993, the model gives a value of about 87 people, which is slightly less than the actual value of 88 people.
B) The display indicates that for the year 1990, the model gives a value of 75.2 people, which is slightly more than the actual value of 75 people.
C) The display indicates that for the year 1993, the model gives a value of about 88 people, which is slightly more than the actual value of 87 people.
D) The display indicates that for the year 1995 , the model gives a value of about 88 people, which is slightly more than the actual value of 87 people.

Question

The table below gives the actual values of the population of a small island in the Pacific Ocean. The population is modeled by the equation $\mathrm{y}=75.2(1.055)^{\mathrm{x}}$, where $\mathrm{x}=0$ represents the population of the island in 1990.

For the point displayed in the calculator screen above, how does the model compare to the actual?
A) The display indicates that for the year 1993, the model gives a value of about 87 people, which is slightly less than the actual value of 88 people. 
B) The display indicates that for the year 1990, the model gives a value of 75.2 people, which is slightly more than the actual value of 75 people. 
C) The display indicates that for the year 1993, the model gives a value of about 88 people, which is slightly more than the actual value of 87 people. 
D) The display indicates that for the year 1995 , the model gives a value of about 88 people, which is slightly more than the actual value of 87 people.

Quizplus · Accepted Answer

The Answer of The table below gives the actual values of the population of a small island in the Pacific Ocean. The population is modeled by the equation $\mathrm{y}=75.2(1.055)^{\mathrm{x}}$, where $\mathrm{x}=0$ represents the population of the island in 1990.

For the point displayed in the calculator screen above, how does the model compare to the actual?
A) The display indicates that for the year 1993, the model gives a value of about 87 people, which is slightly less than the actual value of 88 people. 
B) The display indicates that for the year 1990, the model gives a value of 75.2 people, which is slightly more than the actual value of 75 people. 
C) The display indicates that for the year 1993, the model gives a value of about 88 people, which is slightly more than the actual value of 87 people. 
D) The display indicates that for the year 1995 , the model gives a value of about 88 people, which is slightly more than the actual value of 87 people.

The Table Below Gives the Actual Values of the Population y=75.2(1.055)x\mathrm{y}=75.2(1.055)^{\mathrm{x}}y=75.2(1.055)x

The Table Below Gives the Actual Values of the Population $\mathrm{y}=75.2(1.055)^{\mathrm{x}}$