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Exponential Growth Factor Worksheet
Instructions: For each function f , determine which equivalent form displays the value of the growth factor c as the base or coefficient, where c represents how much f ( x ) increases by when x increases by the specified amount.
1. For the function f , for every increase of 3 in the value of x , the value of f ( x ) increases by a factor of c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 15(3)⁴ˣ B. f ( x ) = 15(81)ˣ C. f ( x ) = 15(27)x/ D. f ( x ) = 15(6.24)x/ 2. For the function f , for every increase of 1 in the value of x , the value of f ( x ) increases by a factor of c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 8(16)x/ B. f ( x ) = 8(256)ˣ C. f ( x ) = 8(4)²ˣ D. f ( x ) = 8(2)⁴ˣ 3. For the function f , for every increase of 4 in the value of x , the value of f ( x ) increases by a factor of c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 50(5)³ˣ B. f ( x ) = 50(125)ˣ C. f ( x ) = 50(244.14)x/ D. f ( x ) = 50(15625)x/ 4. For the function f , for every increase of 2 in the value of x , the value of f ( x ) increases by a factor of c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 100(7)²ˣ B. f ( x ) = 100(49)ˣ C. f ( x ) = 100(2401)x/ D. f ( x ) = 100(3.5)⁴ˣ
5. For the function f , for every increase of 5 in the value of x , the value of f ( x ) increases by a factor of c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 25(2)⁴ˣ B. f ( x ) = 25(16)ˣ C. f ( x ) = 25(1024)x/ D. f ( x ) = 25(32)x/ 6. For the function f , for every increase of 3 in the value of x , the value of f ( x ) increases by a factor of c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 18(6)²ˣ B. f ( x ) = 18(36)ˣ C. f ( x ) = 18(7.35)ˣ D. f ( x ) = 18(216)x/ 7. For the function f , for every increase of 1 in the value of x , the value of f ( x ) increases by a factor of c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 60(3)³ˣ B. f ( x ) = 60(9)3x/ C. f ( x ) = 60(27)ˣ D. f ( x ) = 60(81)x/ 8. For the function f , for every increase of 4 in the value of x , the value of f ( x ) increases by a factor of c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 12(10)ˣ B. f ( x ) = 12(100)x/ C. f ( x ) = 12(3.16)ˣ D. f ( x ) = 12(10000)x/ 9. For the function f , for every increase of 2 in the value of x , the value of f ( x ) increases by a factor of c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 30(5)³ˣ B. f ( x ) = 30(125)x/ C. f ( x ) = 30(25)3x/ D. f ( x ) = 30(11.18)ˣ
c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 80(7)³ˣ B. f ( x ) = 80(343)ˣ C. f ( x ) = 80(117649)x/ D. f ( x ) = 80(49)3x/
16. For the function f , for every increase of 3 in the value of x , the value of f ( x ) increases by a factor of c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 45(9)²ˣ B. f ( x ) = 45(81)ˣ C. f ( x ) = 45(729)x/ D. f ( x ) = 45(3)⁶ˣ 17. For the function f , for every increase of 1 in the value of x , the value of f ( x ) increases by a factor of c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 35(5)⁴ˣ B. f ( x ) = 35(625)ˣ C. f ( x ) = 35(25)²ˣ D. f ( x ) = 35(15625)x/ 18. For the function f , for every increase of 6 in the value of x , the value of f ( x ) increases by a factor of c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 150(4)³ˣ B. f ( x ) = 150(64)ˣ C. f ( x ) = 150(262144)x/ D. f ( x ) = 150(16)3x/ 19. For the function f , for every increase of 2 in the value of x , the value of f ( x ) increases by a factor of c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 70(8)ˣ B. f ( x ) = 70(64)x/ C. f ( x ) = 70(2)³ˣ D. f ( x ) = 70(512)x/
c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 10(6)⁴ˣ B. f ( x ) = 10(1296)ˣ C. f ( x ) = 10(1679616)x/ D. f ( x ) = 10(36)²ˣ
21. For the function f , for every increase of 3 in the value of x , the value of f ( x ) increases by a factor of c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 28(10)ˣ B. f ( x ) = 28(1000)x/ C. f ( x ) = 28(100)x/ D. f ( x ) = 28(2.15)ˣ 22. For the function f , for every increase of 4 in the value of x , the value of f ( x ) increases by a factor of c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 55(9)²ˣ B. f ( x ) = 55(81)ˣ C. f ( x ) = 55(6561)x/ D. f ( x ) = 55(3)⁴ˣ 23. For the function f , for every increase of 1 in the value of x , the value of f ( x ) increases by a factor of c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 95(7)³ˣ B. f ( x ) = 95(343)ˣ C. f ( x ) = 95(49)3x/ D. f ( x ) = 95(16807)x/ 24. For the function f , for every increase of 2 in the value of x , the value of f ( x ) increases by a factor of c , where c is a constant. Which equivalent form displays the value of c as the base or coefficient? A. f ( x ) = 40(12)ˣ B. f ( x ) = 40(144)x/ C. f ( x ) = 40(20736)x/ D. f ( x ) = 40(1728)x/
