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Maya wants to but plants for her yard. She wants to buy at least 5 plants. Nandinas cost $5 per plant and azaleas cost $10 per plant. She cannot spend more than $50. Give the system of inequalities and two possible choices for her to buy.

User Tom Bennett
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1 Answer

13 votes
13 votes

(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), ....

Maya wants to but plants for her yard. She wants to buy at least 5 plants. Nandinas-example-1
User GabrielVa
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