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sdas [7]
3 years ago
11

If the price of a gallon of gas was $0.89 in 1984 and was $3.59 in 2014, what was the average rate of change in the price per ga

llon of gas?
Mathematics
1 answer:
mylen [45]3 years ago
8 0

Answer:

0.09

Step-by-step explanation:

avg rate of change is:  change in y/ change in x

so it´d be   3.59 - 0.89 / 2014 - 1984

= 2.7/ 30

= 0.09

note:

The slope formula and the average rate of change formula are the same, just written a bit different, so you could also use:

y2 - y1 / x2 - x1

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If clearer picture i may help for it is far to dark and clouded to read

4 0
3 years ago
Read 2 more answers
1. What is the solution set for -4x - 10 ≤ 2 ?
tresset_1 [31]

Answer:

x≥−3

Step-by-step explanation:

−4x−10≤2

Step 1: Add 10 to both sides.

−4x−10+10≤2+10

−4x≤12

Step 2: Divide both sides by -4.

−4x−4≤12

−4

x≥−3

5 0
3 years ago
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
GaryK [48]

Answer:

  1. So profit is denoted by Y
  2. Selling price is denoted by X

Hencd we have Y= X + B

Where Be can be a constant for example how much he already sold or etc.

Rate positively and give brainlist

3 0
3 years ago
Ms. Ford is buying bundles of virgin hair from She’s Happy Hair that costs $75 per bundle, but $42.50 for shipping. If Ms. Ford
Pani-rosa [81]

Answer: 7 bundles.

Step-by-step explanation:

The cost per bundle is $75.

The cost for shipping is $42.50

She spent $567.50 in total.

The shipping is paid only one time, as all the bundles can be packaged togheter.

Then after paying the shipping, the left spent is:

$567.50 - $42.50 = $525

And each bundle costs $75, then the number of bundles that she bought will be equal to the number of times that we have $75 in $525. This is equal to the quotient between $525 and $75.

N = $525/$75 = 7

She bought 7 bundles

3 0
3 years ago
Harrison Water Sports has two retail outlets: Seattle and Portland. The Seattle store does 60 percent of the total sales in a ye
Anna11 [10]

Answer: P = 0.75

Step-by-step explanation:

Hi!

The sample space of this problems is the set of all the possible sales. It is divided in the disjoint sets:

S_s = {\text{sales made in Seattle }}\\S_p={\text {sales made in Portland}}

We have also the set of sales of boat accesories S_b, the colored one in the image.

We are given the data:

P(S_s) = 0.6\\P(S_b | S_s) = \frac{P(S_b\bigcap S_s)}{P(S_s)}=0.4\\P(S_b|S_p) =\frac{P(S_b\bigcap S_p)}{P(S_p)}=0.2

From these relations you can compute the probabilities of the intersections colored in the image:

pink\;set:\;P(S_b \bigcap S_s) =0.6*0.4=0.24\\blue\;set\;:P(S_b \bigcap S_p)=(1-0.6)*0.2 =0.08

You are asked about the conditional probability:

P(S_s|S_b) = \frac{P(S_s \bigcap S_b)}{P(S_b)}

To calculate this, you need  P(S_b) . In the image you can see that the set S_b is the union of the two disjoint pink and blue sets. Then:

P(S_b)=P((S_b \bigcap S_s)\bigcup(S_b \bigcap S_p)) = 0.24 + 0.08 = 0.32

Finally:

P(S_s|S_b) = \frac{0.24}{0.32}=0.75

4 0
4 years ago
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