Answer:
a) V = 288 - h
b) (0,288)(1,276)(2,264)(3,252)(4,240)
c) graph the above point
d) Volume decreases as height increases
Step-by-step explanation:
Step 1 :
a)
The given equation is V = 12(24-h)
Using the distributive property we have
V= 12*24 - 12 * h = 288-h
b)
The ordered pairs (h,V) can be obtained by giving different values for h and computing the corresponding V values
When h = 0 ,V= 288 -0= 288
When h = 1 ,V= 288 -12*1= 276
When h = 2 ,V= 288 -12*2= 264
When h = 3 ,V= 288 -12*3= 252
When h = 4 ,V= 288 -12*4= 240
Hence the ordered pairs are (0,288)(1,276)(2,264)(3,252)(4,240)
Step 3 :
The above points can be graphed using the values of h in the x axis and the values of V in the y axis
Step 4:
The above equation shows that the value of the volume V decreases as the value of h increases and becomes negative for values of h >24
