Answer:
<em>y=7x+1</em>
Step-by-step explanation:
<u>Linear modeling</u>
Consists of finding a linear equation that represents a situation in real life.
Jenny starts her stamps collection with only 1 stamp.
Then she collects 7 stamps per day.
Let's call
y=total amount of stamps in Jenny's collection
x=number of days
Knowing Jenny collects 7 stamps per day, then in x days, she collects 7x stamps. The total amount can be obtained by adding the first stamp she had. Thus, the model is:
y=7x+1
The intercept would be 5 Y if you acually solve that equation
Answer:
The midpoint is;
(-1,-0.5)
Step-by-step explanation:
To do this, we shall use the midpoint formula
That would be;
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
(x1,y1) = (-9,-1)
(x2,y2) = (7,0)
(x,y)
= (7-9)/2 , (0-1)/2
= -2/2 , -1/2
= (-1, -0.5)
A week is 7 days. so 16 divided by 7 is 2 with a remainder of 2. so she spent two weeks and two days in south africa.
Write an equation system based on the problem
We can write the equation for "Twice the price in Japan minus five times the price in India is $20.60" as
∴ 2j - 5i = 20.6 <em>(first equation)</em>
We can write the equation for "Thirty cents less than three times the lowest price is thirty cents" as
∴ 3i - 0.30 = 0.30 <em>(second equation)</em>
Solve the equations
First, solve the second equation to find the price in India
3i - 0.3 = 0.3
3i = 0.3 + 0.3
3i = 0.6
i = 0.6/3
i = 0.2
Second, solve the first equation by subtitution of the value of i to the equation
2j - 5i = 20.6
2j - 5(0.2) = 20.6
2j - 1 = 20.6
2j = 20.6 + 1
2j = 21.6
j = 21.6/2
j = 10.8
The price in India is $0.20 and the price in Japan is $10.80
