Math 1-Module 1-Self Assessment 1.5-1.8

Sione just landed a great job as an engineer where he will make $55,000 a year. The company he will work for guarantees a 3% pay increase each year so it’s employees’ salaries keep up with inflation. At the end of the 1^st year Sione will have made $55,000 dollars.

What is the recursive function that will represent this situation?

• m(t)=m(t-1)+0.03, m(1)=55000

• m(t)=m(t-1)*0.03, m(1)=55000

• m(t)=m(t-1)+1.03, m(1)=55000

• m(t)=m(t-1)*1.03, m(1)=55000

Sione just landed a great job as an engineer where he will make $55,000 a year. The company he will work for guarantees a 3% pay increase each year so it’s employees’ salaries keep up with inflation. At the end of the 1^st year Sione will have made $55,000 dollars.

What is the explicit function that represents Sione’s salary?

• m(t)=.03^t +55000

• m(t)= 55000 (1.03)^t-1

• m(t)=1.03^t + 56650

• m(t)= 0.97^t * 55000

Stephanie is collecting data on the reaction of bacteria to different antibodies. She forgot to measure the area of the bacteria to start but after an hour knows 20 square centimeters of bacteria is in the dish and then continues to measure the area after each hour. She put the data that she gathered into the table above. What is the constant ratio in this sequence?

• 1.25

• 1.2

• 0.2

• 0.8

Stephanie is collecting data on the reaction of bacteria to different antibodies. She forgot to measure the area of the bacteria to start but after an hour knows 20 square centimeters of bacteria is in the dish and then continues to measure the area after each hour. She put the data that she gathered into the table below. The explicit function would be…

• f(x)= 25 (0.8)^x

• f(x)= 25+0.8^x

• f(x)=25^x * 0.8

• f(x)= 25^x +0.8

Stephanie is collecting data on the reaction of bacteria to different antibodies. She forgot to measure the area of the bacteria to start but after an hour knows 20 square centimeters of bacteria is in the dish and then continues to measure the area after each hour. She put the data that she gathered into the table above. How much area would you predict the bacteria to have on the measurement of the 5^th hour?

• 9

• 8.192

• 7.7

• 10.16