Final due today hurry please! Question Category: Comparing Functions Select the correct answer.

The given table shows the number of customers, c(x), in a diner when the diner has been open for x minutes.

x 30 45 60 75 90 105
c(x) 40 48 50 48 40 30
Which statement is supported by the table?

The number of customers in the diner is increasing on the interval (30,60).
The maximum number of customers in the diner is 60.
The number of customers in the diner is increasing on the interval (75,105).
The maximum number of customers in the diner is 105.

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

Data for the height of a model rocket launch in the air over time are shown in the table. darryl predicted that the height of the rocket at 8 seconds would be about 93 meters. did darryl make a good prediction? yes, the data are best modeled by a quadratic function. the value of the function at 8 seconds is about 93 meters. yes, the data are best modeled by a linear function. the first differences are constant, so about 93 meters at 8 seconds is reasonable. no, the data are exponential. a better prediction is 150 meters. no, the data are best modeled by a cubic function. a better prediction is 100 meters.

In a rectangle klmn, km = 6x + 16 and ln = 49. find the value of x