Answer:
B. 400 + 42x > 1,200
Step-by-step explanation:
Let's take a look at the first two rows in the table.
Number of lilac bushes: 1, 2...
Area (in sq ft): 442, 484...
For ONE palm tree + ONE lilac bush, the area has to be at least 442 ft^2.
For ONE palm tree + TWO lilac bushes, the area has to be at least 484 ft^2.
The only variable that changes as the table goes on is the number of lilac bushes. So, to find the area (in sq ft) of one lilac bush, all we need to do is subtract the first area given from the second:
Area of one lilac bush: 484 ft^2 - 442 ft^2 = 42 ft^2.
Area of the palm tree: 442 ft^2 - 42 ft^2 = 400 ft^2
These two values give us the information we need to set up an inequality.
The constant (the variable that stays the same) is the palm tree, so "400" will be the first value. Because the number of lilac bushes is undetermined at this point, they can be represented by the expression "42x", which goes next. So far we have "400 + 42x". We know that, in the end, the sum of what is IN the garden can not be greater then the total area of the garden itself (1,200 ft^2), so we need to put in a "less than" symbol (<) before putting the total area of the garden. With these two additions to our inequality, we now have "400 + 42x < 1,200" as our answer.
Your answer is B. 400 + 42x < 1,200.
Hope this helps!
