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May 30, 2015

May 30, 2015

Posted by **David** on Wednesday, May 21, 2014 at 8:17pm.

If g(x) = 25x - 50, which statement is true?

A. The functions f(x) and g(x) both have positive slopes. <<<

B. The functions f(x) and g(x) both have negative slopes.

C. The function f(x) has a positive slope, and the function g(x) has a negative slope.

D. The function f(x) has a negative slope, and the function g(x) has a positive slope.

2) A population of caribou in a forest grows at a rate of 2% every year. If there are currently 237 caribou, which function represents the number of caribou in the forest in t years?

A. C(t) = 237(0.98)^t

B. C(t) = 237(1.02)^t <<<<

C. C(t) = (237)(1.02)^t

D. C(t) = 237(0.02)^t

3) Robert is considering purchasing a manufactured home that costs $77,300. If he expects the home value to decrease 8% each year, which function will show the value of Robert's manufactured home in t years?

A. V(t) = $83,484t

B. V(t) = $77,300(-0.92)t

C. V(t) = $77,300(1.08)t <<<<<<<<

D. V(t) = $77,300(0.92)t

4) The formula below can be used to find the amount of radioactive material that remains after a certain period of time, where A0 is the initial amount of material, A is the amount of material remaining after t hours, and k is the decay constant.

A = A0(2.71)-kt

If Celeste has 83.3 grams of a radioactive material initially, and it has a decay constant of 0.6, how much of the material, in grams, will remain after 2 hours? Round to the nearest hundredth of a gram, if necessary.

A. 45.8 <<<<<<<<<<<<

B. 11.34

C. 25.18

D. 12.59

- Algebra please check my answers -
**Damon**, Wednesday, May 21, 2014 at 8:40pm3) Robert is considering purchasing a manufactured home that costs $77,300. If he expects the home value to decrease 8% each year, which function will show the value of Robert's manufactured home in t years?

A. V(t) = $83,484t

B. V(t) = $77,300(-0.92)t

C. V(t) = $77,300(1.08)t <<<<<<<<

D. V(t) = $77,300(0.92)t

D. V(t) = $77,300(0.92)t

BUT you mean

D. V(t) = $77,300(0.92)^t

- Algebra please check my answers -
**David**, Wednesday, May 21, 2014 at 8:45pmThanks! Are the others correct?

- Algebra please check my answers -
**Damon**, Wednesday, May 21, 2014 at 8:46pm4) The formula below can be used to find the amount of radioactive material that remains after a certain period of time, where A0 is the initial amount of material, A is the amount of material remaining after t hours, and k is the decay constant.

A = A0(2.71)-kt !!!!!!!!

=====================================

AGAIN YOU MEAN

A = AO (2.71)^-kt

=========================

BY 2.71 you mean e

=========================

If Celeste has 83.3 grams of a radioactive material initially, and it has a decay constant of 0.6, how much of the material, in grams, will remain after 2 hours? Round to the nearest hundredth of a gram, if necessary.

A. 45.8 <<<<<<<<<<<<

B. 11.34

C. 25.18

D. 12.59

A = 83.3 e^-(.6*2)

= 83.3 * .3011

= 25.08

so I think C

- Algebra please check my answers -
**David**, Wednesday, May 21, 2014 at 9:30pmAre 1 and 2 correct?