Answer:
The cost for a 2,000 square foot house is
Detailed explanation:
Recall that if two variables x and y vary directly, the relationship can be written as or
.
Define:
x as the house area in square feet
y as the price of the house
Given point (1500, 300000)
Calculate proportionality constant k:
Insert values:
The direct variation equation is:
For x = 2000:
Calculate y:
Replace x in equation:
Answer:
a) $4.99
b) $5.34
c) $4.80
Step-by-step explanation:
Hello,
For answers a) and b), they can be directly gleaned from the question's information. For part c), please refer to the explanation below:
At Store 1:
We purchased 100 pens at $4.99 each ⇒ 100 × 4.99 = $499
At this location, we received a 10% discount.
10% of $499 ⇒ × 499 = $49.9
This means we saved $49.9 and thus, we ended up paying $449.10 at Store 1 for 100 pens.
At Store 2:
We bought 100 pens priced at $5.34 each ⇒ 100 × 5.34 = $534
This store provided a 15% discount.
15% of $534 ⇒ × 534 = $80.1
This resulted in a $80.1 discount, leading to a final cost of $453.90 at Store 2 for 100 pens.
Price Comparison:
$453.90 - $449.10 = $4.80
Store 1 is more affordable than Store 2.
Observation:
If we had rounded off both prices at the beginning of the calculations, Store 2 would appear cheaper than Store 1.
Store 1: $4.99 ≈ $5
Store 2: $5.34 ≈ $5
Consequently, 100 pens from both stores would cost $500.
Yet, due to varying discount rates, with Store 2 at 15% compared to Store 1's 10%; thus, Store 2 would indeed be less expensive than Store 1.