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Virginia SOL Algebra I exponential and comparing functions quiz (A.F) quiz

12questions. Pick an answer and you'll see why right away.

  1. A table shows f(0)=3f(0) = 3, f(1)=6f(1) = 6, f(2)=12f(2) = 12, f(3)=24f(3) = 24. Which equation models it?

  2. In the function f(x)=500(0.8)xf(x) = 500(0.8)^x, what does the 500500 represent?

  3. A town of 80008000 people grows 3%3\% per year. Which function models the population after tt years?

  4. A car worth \20{,}000loses loses 15%$ of its value each year. Which function models its value?

  5. An arithmetic sequence is 7,11,15,19,7, 11, 15, 19, \dots. Using an=a1+(n1)da_n = a_1 + (n - 1)d, find the 2020th term.

  6. Which sequence is geometric?

  7. Find the 66th term of the geometric sequence 5,10,20,40,5, 10, 20, 40, \dots.

  8. A table has x=0,1,2,3x = 0, 1, 2, 3 and y=4,12,36,108y = 4, 12, 36, 108. Which type of function is it?

  9. Over time, which function eventually grows faster than any linear function, no matter the slope?

  10. A base of 0.900.90 in a decay model represents what percent decrease per period?

  11. A table shows differences of +5,+5,+5+5, +5, +5 over equal steps. Which family is it?

  12. Which situation is best modeled by an exponential function?