(0, 5) and (5, 0)
Step-by-step explanation:
She wants to buy atleast 5 plants
Atleast is written as: ≥ 5
let the number of Nandinas = n
Cost per one Nandinas = $5
let the number of azaleas = a
cost per one azaleas = $10
She can't spend more than $50. This means the maximum amount o be spent is $50
This is written as: ≤ 50
The inequalities:
Total plants cannot be less than 5
n + a ≥ 5 ...equation 1
cost of 1 Nandinas (number of Nandinas) + cost of one azaleas (number of azaleas) ≤ 50
$5(n) + $10(a) ≤ 50
5n + 10a ≤ 50 ...equation 2
We need to plot the inequalities to determine the possible choices of her buy:
The point of intersection or overlaappng region of both graph are the possible choices for her buy.
From the graph:
where x = n
y = a
Possible choices (n, a) = (0, 5), (5, 0), (10, 0), ....