The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds:
a linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. the x axis is labeled time in seconds, and the y axis is labeled height in feet.
part a: during what interval(s) of the domain is the water balloon's height increasing? (2 points)
part b: during what interval(s) of the domain is the water balloon's height staying the same? (2 points)
part c: during what interval(s) of the domain is the water balloon's height decreasing the fastest? use complete sentences to support your answer. (3 points)
part d: use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds. use complete sentences to support your answer. (3 points)

d. is the correct answer

step-by-step explanation:

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200