1) Cecilia wants to switch over to T-Mobile for the unlimited everything plan for $89.99 which includes 20GB of 4G LTE each month; if she goes over 20GB per month T-Mobile will charge Cecilia $10 for each 1 GB over her
limit. Mr. D wants to switch over to Cricket for the unlimited plan for $59.99 which includes 15GB of 4G LTE
per month, if he goes over the 15GB per month Cricket will charge Mr. D $5 for for each 1 GB over his limit.
Which system of equations represent the situation? Let x represent the overage of GB's each month.
sy = 89.99x + 10
y = 59.99x + 5
(y = = 89.99 + 10x
b.
y = 59.99 + 5x
(y = 89.99 + 5x
y = 59.99 +10x
(y = 89.99x + 5
d.
= 59.99x + 10
a.
c.

Which of the statements about the graph of the function y = 2x are true? check all of the boxes that apply. the domain is all real numbers x because the exponent of 2 can be any real number when the x-values increases by 1 unit, the y-value multiplies by 2. the y-intercept is (0, 1). the graph never goes below the x-axis because powers of 2 are never negative. the range is all real numbers.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

Fa bus driver leaves her first stop by 7: 00 a.m., her route will take less than 37 minutes. if she leaves after 7: 00 a.m., she estimates that the same route will take no less than 42 minutes. which inequality represents the time it takes to drive the route, r?