For the first expression
15 + 2d
A possible word problem would be this:
A person saves $2 per day of money. Before he started saving, he had $15 dollars set aside. Look for the expression that expresses the total amount of money saved in terms of the number of days passed
The second expression is
200 - 2m
A possible word problem would be this:
The distance from school to the park is 200m. A kid riding a bike is traveling at a speed of 2m/s from the school to the park. Write an expression for the distance remaining between the park and the kid.<span />
The answer should be b
The other one should be 8
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
Answer:
The area is:
, option b.
Step-by-step explanation:
Rectangular area:
The area of a rectangular space is given bt the multiplication of its measures.
Area of the roof:
Dimensions of 10x + 8 and 8x + 6. So
![A_{r} = (10x+8)(8x+6) = 80x^2 + 60x + 64x + 48 = 80x^2 + 124x + 48](https://tex.z-dn.net/?f=A_%7Br%7D%20%3D%20%2810x%2B8%29%288x%2B6%29%20%3D%2080x%5E2%20%2B%2060x%20%2B%2064x%20%2B%2048%20%3D%2080x%5E2%20%2B%20124x%20%2B%2048)
Area of the skylight:
Dimensions of x + 5 and 3x + 4. So
![A_{s} = (x+5)(3x+4) = 3x^2+4x+15x+20 = 3x^2 + 19x + 20](https://tex.z-dn.net/?f=A_%7Bs%7D%20%3D%20%28x%2B5%29%283x%2B4%29%20%3D%203x%5E2%2B4x%2B15x%2B20%20%3D%203x%5E2%20%2B%2019x%20%2B%2020)
What is the area of the remaining roof after the skylight is built?
Total subtracted by the skylight, which is a subtraction of a polynomial, in which we subtract the like terms. So
![A_{r} - A_{s} = 80x^2 + 124x + 48 - (3x^2 + 19x + 20) = 80x^2 - 3x^2 + 124x - 19x + 48 - 20 = 77x^2 + 105x + 28](https://tex.z-dn.net/?f=A_%7Br%7D%20-%20A_%7Bs%7D%20%3D%2080x%5E2%20%2B%20124x%20%2B%2048%20-%20%283x%5E2%20%2B%2019x%20%2B%2020%29%20%3D%2080x%5E2%20-%203x%5E2%20%2B%20124x%20-%2019x%20%2B%2048%20-%2020%20%3D%2077x%5E2%20%2B%20105x%20%2B%2028)
The area is:
, option b.
Answer:
Quadratic
Step-by-step explanation:
It looks like it’s forming a very wide arch so quadratic formulas are arches