Grace is comparing cell phone plans. a prepaid phone plan costs $0.20 per minute and has no monthly fee. a contracted phone plan costs $50 per month and $0.02 per minute. how will the graphs of the monthy costs of the two cell phone plans compare where x represents minutes purchased in a month?

the prepaid phone plan will have a steeper line and lower y-intercept.
the contracted phone plan will have the same steepness and a higher y-intercept.
the prepaid phone plan will have a less steep line and the same y-intercept.
the contracted phone plan will have a steeper line and same y-intercept.

 The prepaid phone plan will have a steeper line and lower y-intercept.

Step-by-step explanation:

Let x represents the number of minutes while y represents total cost of one month,

According to the question, A prepaid phone plan costs $0.20 per minute and has no monthly fee.

Thus, equation of line which shows it,

y = 0.20x  ------- (1)

And,  A contracted phone plan costs $50 per month and $0.02 per minute.

Thus, equation of line which shows it,

y = 50+0.020x -------(2)

Since, After plotting both lines we come to know that the slope of line 1) is greater than 2) therefore line 1) is steeper than 2).

Also, The y-intercept of 1) is (0,0) and y-intercept of 2) is (0,50)

Therefore Line 1) has the lower y-intercept than line 2).

Thus, Option One is correct.

A. The prepaid phone plan will have a steeper line and lower y-intercept.

Step-by-step explanation:

did it on edge 2020

la parábola es el lugar

geométrico en el cual los puntos tienen una distancia idéntica, equidistantes,

de un punto denominado foco, f, y una recta denominada directriz

el radio vector de una

parábola es el segmento que existe entre un punto cualquiera y el foco.

por la ecuación se observa

que la parábola abre hacia la derecha, por lo cual podemos usar las siguientes fórmulas

la ecuación ordinaria de la

parábola es y^2 = 4px, donde p es la longitud desde el vértice de la parábola al

foco.

la fórmula de la directriz

es x + p = 0

resolviendo:

y^2-9x = 0

y^2 = 9x

4p = 9, entonces p = 9/4

entonces el foco tendrá la

coordenada f(9/4,0)

la directriz vendrá

expresada por

x + p = 0

x = -p

x = -9/4

el problema indica que la

ordenada es igual a 6, entonces

(6)^2=9x

x = 36/9

x = 4

entonces el punto al cual

hay que obtener la distancia será p(4,6)

calculando se tendrá: pf = 

pf = 6,25 u

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step-by-step explanation:

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.