Four students are completing a math activity in class. Each student pulls a card from a stack of cards and then compares their card to the other students’ cards. The four students then must agree on the order of the cards from greatest to least. Student A’s card shows 5√10.
Student B’s card shows π12.
Student C’s card shows 17150.
Student D’s card shows 320 .
Which list shows the cards in order from greatest to least?

A. B. D. C.

Step-by-step explanation:

7.1

Step-by-step explanation:

Exponential Functions:

y=ab^x

y=ab  

x

a=\text{starting value = }570

a=starting value = 570

r=\text{rate = }26.9\% = 0.269

r=rate = 26.9%=0.269

\text{Exponential Decay:}

Exponential Decay:

b=1-r=1-0.269=0.731

b=1−r=1−0.269=0.731

\text{Write Exponential Function:}

Write Exponential Function:

y=570(0.731)^x

y=570(0.731)  

x

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=570(0.731)^{14}

y=570(0.731)  

14

y= 7.091174

y=7.091174

Evaluate

y\approx 7.1

y≈7.1

round