Carlos rented a truck for one day. There was a base fee of $19.99, and there was an additional charge of 86 cents for each mile
1 answer:
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Answer:
- <u>Rule in words:</u>
The number of packages Justin needs to buy to get x cards is x divided by 3.
- <u>Rule as an algebraic expresssion:</u>
Explanation:
This is a direct variation problem.
Since each package has the same number of cards, the number of cards is proportional to the number of packages.
12 baseball cards in 4 packages means that there are 12/4 = 3 cards per package, so:
- The number of cards is 3 times the number of packages.
- The number of packages is the number of cards divided by the number of 3.
So, the <em>rule in words</em> for the number of packages Justin needs to buy x cards is one third of x. This table may help you to visualize it:
Number of packages: 1 2 3 4 5
Number of cards: 3 6 9 12 15
To find the <em>algebraic expression</em> that describes the same rule, you can set the following proportion:
Where y is the number of packages and x is the number of cards.
And from that you solve for y:
Answer:
Step-by-step explanation:
Using the rule of exponents
⇔
, then
=
=
The exponential equation that represents how many grams of the compound will remain after 8 hours is:
B: C=260(0.962)^8
<h3>What is an exponential function?</h3>A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
A radioactive compound with mass of 260 grams decays at a rate of 3.8% per hour, hence the equation for the mass after t hours is given by:
After 8 hours, the amount is given by:
Hence option B is correct.
More can be learned about exponential equations at brainly.com/question/25537936