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