The slope of the lines represent the runners' speeds. Therefore, the purple line represents Jerry, since he started off faster but also stopped in the middle, and the slope became 0 (horizontal portion of the line.)
The red one represents Katja because she started and ended at a constant pace, which is visible in the red line's constant slope.
Answer:
y = 3^(1 + x)
Step-by-step explanation:
Notice that each time x increases by 1, y increases by a factor of 3.
Thus, the required equation has the form y = 3^x.
Check: If x = 0, do we get 3? No. Therefore we must modify the exponent:
y = 3^(1 + x)
Check: If x = 0, do we get 3? 3^(1 + 0) = 3 (correct)
If x = 2, do we get 27? 3(1 + 2) = 3^3 + 27 (correct)
A quota is when one country limits the amount of a good that can be imported from another country.
This is done in order to give prominence to domestic suppliers and producers. If you limit the amount of foreign goods, then its price will rise, which will make consumers buy more domestic goods and thus help develop domestic trade.
Answer:
12 cows - 48 legs
4 ducks- 8 legs
- there are many different numbers you can do but if you want to change the numbers and have more ducks then: for every one cow you take away two more ducks.
Step-by-step explanation:
22 total animals
56 total legs
ducks have 2 legs
cows have 4 legs
12 times 4 = 48 ( 12 cows with 4 legs each cow = 48 legs)
4 times 2 = 8 ( 4 ducks with 2 legs each duck = 8 legs)
Answer:
$1.25
September
$30
Step-by-step explanation:
Let's take this a step a time.
First we need to find how much the price of the flowers were in September.
We know that each flower cost $1.50 on October.
The October price was a 20% increase of the September price.
To calculate for the price of the flowers on September, we can solve it like this:
Let x = Price during September
1.2x = 1.50
We used 1.2 because the price of $1.50 is 120% of the original price.
Now we divide both sides by 1.2 to find x.
x = 1.25
The price of the flowers during September was $1.25 each.
Now the 7th grade class earned 40% of the selling price of each flower.
40% = 0.40
To find how much they made on each month, we simply multiply the percentage to the price and the number of flowers sold.
September = 0.40 x 1.25 x 900
September = 0.5 x 900
September = $450
Now for October.
October = 0.40 x 1.50 x 700
October = 0.6 x 700
October = $420
The 7th Graders earned more on September.
They earned $30 more on September than October.
