A: the graph of f(x) always exceeds the graph of g(x) over the interval [0, 5] b: the graph of g(x) always exceeds the graph of f(x) over the interval [0, 5] c: the graph of f(x) exceeds the graph of g(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of g(x) exceeds the graph of f(x). d: the graph of g(x) exceeds the graph of f(x) over the interval [0, 4], the graphs intersect at a point

we analyze the table

From the table we can see that f(x) values are larger than g(x) values till x= 4

When x=5 the g(x) is greater than f(x)

So we can say the graph of f(x) exceeds g(x) over the interval [0,4]

Over the interval [4,5] g(x) exceeds f(x), it means there is a intersection point between 4  and 5

The graph of g(x) exceeds the graph of f(x) after some point of intersection between 4  and 5

Answer is : c: The graph of f(x) exceeds the graph of g(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of g(x) exceeds the graph of f(x).

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!