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At the trampoline park, Lisa bounces upward with an initial velocity of 2424 feet per second. Therefore, Lisa's height above the trampoline in feet, tt seconds after she jumps, can be modeled by the expression 16t2+24t-16t^2 + 24t. This expression can be written in factored form as 16t(t1.5)-16t(t - 1.5). \newlineWhat does the number 1.51.5 represent in the expression? \newline(A)the time in seconds from when Lisa jumps until she lands on the trampoline \newline(B)Lisa's height above the trampoline at the start of her bounce \newline(C)the time in seconds from when Lisa jumps until she reaches the top of her bounce \newline(D)Lisa's height above the trampoline when she reaches the top of her bounce

Full solution

Q. At the trampoline park, Lisa bounces upward with an initial velocity of 2424 feet per second. Therefore, Lisa's height above the trampoline in feet, tt seconds after she jumps, can be modeled by the expression 16t2+24t-16t^2 + 24t. This expression can be written in factored form as 16t(t1.5)-16t(t - 1.5). \newlineWhat does the number 1.51.5 represent in the expression? \newline(A)the time in seconds from when Lisa jumps until she lands on the trampoline \newline(B)Lisa's height above the trampoline at the start of her bounce \newline(C)the time in seconds from when Lisa jumps until she reaches the top of her bounce \newline(D)Lisa's height above the trampoline when she reaches the top of her bounce
  1. Expression for Lisa's height: The expression for Lisa's height is 16t2+24t-16t^2 + 24t, which factors to 16t(t1.5)-16t(t - 1.5).
  2. Factored form and roots: The factored form shows the roots of the quadratic equation, which are the values of tt where Lisa's height is 00.
  3. Roots interpretation: One root is t=0t = 0, which is when Lisa starts her jump. The other root is t=1.5t = 1.5, which is when Lisa lands back on the trampoline.
  4. Significance of 1.51.5: Since the question asks what 1.51.5 represents, it's the time in seconds from when Lisa jumps until she lands back on the trampoline.

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