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graphs of linear relationships: mastery test
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select the correct answer from each drop-down menu.
alayna parks her car in a lot that charges by the quarter hour. the table shows the parking fee, in dollars, with respect to the time, in hours.
time (hours) 0.25 0.5 0.75 1 1.25 1.5
parking fee $0.50 $1.00 $1.50 $2.00 $2.50 $3.00
time is the
parking fee is the
variable and should be placed on the
variable and should be placed on the
reset

its a straight line parallel to the time axis

they can both be solutions depends on the equation

step-by-step explanation:

what is the equation? ?

the answer would be 0.54

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.