The price of oranges went from $.90 per lb to $1.20 per lb in five years. Find the rate of change of the price of oranges.
We can use the formula for the rate of change:
rate of change = (new value - old value) / old value
In this case, the old value is $.90 and the new value is $1.20, so we have:
rate of change = ($1.20 - $.90) / $.90
Simplifying the numerator:
rate of change = $.30 / $.90
Dividing:
rate of change = 1/3
So the rate of change of the price of oranges is 1/3, or approximately 33.33%.
0.06 per
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At Store 1 I can buy 36 oz of baby formula for $26.62, and at Store 2 I can buy 28 oz of baby formula for $22.42. Which one is a better buy and by how much?
To determine which one is a better buy, we need to calculate the cost per ounce for each store.
At Store 1, the cost per ounce is:
$26.62 / 36 oz = $0.74/oz
At Store 2, the cost per ounce is:
$22.42 / 28 oz = $0.80/oz
Therefore, Store 1 is the better buy as it has a lower cost per ounce.
To determine the difference in cost, we can calculate the difference in cost per ounce:
$0.80/oz – $0.74/oz = $0.06/oz
So Store 1 is $0.06/oz cheaper than Store 2.
To find the rate of change of the price of oranges, we need to calculate the difference between the initial price and the final price and divide it by the number of years. Here's how we can do the calculation:
Step 1: Calculate the difference in price between the initial and final prices:
Final price - Initial price = $1.20 per lb - $0.90 per lb = $0.30 per lb.
Step 2: Determine the time period:
The price change occurred over a period of five years.
Step 3: Calculate the rate of change:
Rate of change = Difference in price / Time period
Rate of change = $0.30 per lb / 5 years
Rate of change = $0.06 per lb per year.
Therefore, the rate of change of the price of oranges is $0.06 per lb per year.