A function h(x) is defined as h(x)=−5/7 x−3. By how much h(x) will decrease/increase, if x decreases by 21?
1 answer:
Answer:
h(x) increases by 15 units.
Step-by-step explanation:
Given that
This is nothing but a straight line with slope equal = -5/7
Hence rate of change of y with respect to x =-5/7
Or for a unit increase in we have 5/7 decrease in h(x)
Using the above we find that when x decreases by 21
we have h(x) to increase by 21(5/7)
=15
So y increases by 15 units
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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.
Answer:
Option A - The number of visitors is multiplied by (1+r) each year
Step-by-step explanation:
Given : The number of visitors to an art museum increases each year. The function represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.
To find : Select the correct statement?
Solution :
We have given an exponential function,
The function represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.
As In year 0,
The initial visitors is
In year 1,
In year 2,
So, According to this the number of visors is multiplied by (1+r) each year.
Therefore, Option A is correct.