Warm-Up: Solve using the distributive property. 1. 7 (3x + 8y-22) 2. -2 (4a + 3b-4)
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<h3><u>Question</u></h3>
The amount of money that Charlie saves each week is directly proportional to the amount he earns. Last week Charlie saved $32 on his earnings of $512. At the same rate, how much will Charlie save this week on his earnings of $448?
<h3><u>Answer:</u></h3>Charlie saved $ 28
<h3><u>Solution:</u></h3>Given that amount of money that Charlie saves each week is directly proportional to the amount he earns
Let y represent of saved money and x represent amount of earned money
Therefore,
y = kx --- eqn 1
Where "k" is the constant of proportionality
<em><u>Last week Charlie saved $32 on his earnings of $512</u></em>
y = 32 and x = 512
Substituting in eqn 1, we get
To find amount of saved money, we will substitute k = 0.0625 and x = 448 in eqn 1
y = 0.0625(448) = 28
Thus charlie saved $ 28