This is a two part question! Please help me!!!Write a function rule for the area of a rectangle with a length 2 ft less than three times its width. What is the area of the rectangle when its width is 2 ft?

Thanks to anyone who helps!

As a starter, the y value is equal to f(x); the x value is equal to the x in f(x).

So basically, in this case, replace x with the number in the brackets.

Coordinates have x, y values (x, y). Here, we know x is -2, so we need to find y.

on the graph, find x = -2 and find where the line of the drawn graph intersects it. Looks like the line intersect x = -2 when y = 3. So f(-2) = 3.

Same applies for b: x = 0, find where the line hits x = 0, and that's your y value, which is 1.

Tried my best to simplify it. Hope it helps lol.

Answer:

there is no unit rate but hers an example of an unit rate using 5.76 NOT THE ANSWER

Step-by-step explanation:

Example: 64 ounces of water in a bottle that costs $5.76. To find the unit rate per ounce, divide the amount it costs ($5.76) by the number of ounces (64). $5.76 ÷ 64 ounces = $0.09 per ounce

Answer:

Essentially, to find the next term in this sequence, the number must be multiplied by 3.

So, the term to term rules for this sequence would be N x 3

Answer:

Step-by-step explanation:

The formula for a geometric sequence is where is the th term of the sequence, is the first term, and is the common ratio.

Since each term is being multiplied by 3, this is our common ratio.

Therefore, our geometric sequence formula is

Answer:

  175 hot dogs

Step-by-step explanation:

The new price will be $3.85 + 0.55 = $4.40. Since the price has increased by a factor of 4.40/3.85 = 8/7, the number of hot dogs sold, which is inversely proportional, will be ...

  (7/8)·200 = 175 . . . hot dogs sold at the higher price

Final answer:

The vendor can expect to sell approximately 233 hot dogs if the price is increased by 55 cents.

Explanation:

To determine how many hot dogs the vendor can expect to sell if the price is increased by 55 cents, we can use the inverse proportionality relationship between the number of hot dogs sold and the price charged.

First, let's set up a proportion with the initial price and number of hot dogs sold:

$3.85 / 200 = (new price + $0.55) / x

Next, we can cross multiply and solve for x:

x = (200 * ($3.85 + $0.55)) / $3.85

Calculating this expression gives us a value of x ≈ 233.77.

Since the number of hot dogs sold must be a whole number, we round down to the nearest whole number, giving us an estimated value of 233 hot dogs.

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