# Brandon is shopping at Old Navy during a sale. All shorts are \$16 each and all t-shirts are \$10 each.He has \$100 to spend and would like to purchase at least 2 pairs of shorts.

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## Question:

Brandon is shopping at Old Navy during a sale. All shorts are \$16 each and all t-shirts are \$10 each.He has \$100 to spend and would like to purchase at least 2 pairs of shorts.

a) Write a system of linear inequalities to represent
this situation, then graph.
b)Using your graph, give two possible combinations
of shorts and Brandon can buy.

Let
x = the number of shorts bought
y =  the number of t-shirts bought

A pair of shorts costs \$16 and a t-shirt costs \$10. Brandom has \$100 to spend.
Therefore
16x + 10y ≤ 100
This may be written as
y ≤ – 1.6x + 10                 (1)

Brandon wants at least 2 pairs of shorts. Therefore
x ≥ 2                               (2)

Graph the equations y = -1.6x + 10 and  x = 2.
The shaded region satisfies both inequalities.

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