Answer:
See below ~
Step-by-step explanation:
<u>Option A</u>
- Unit Rate = $2.49 / 24
- Unit Rate = $1.04 per bottle
<u>Option B</u>
- Unit rate = $6.00 / 48
- Unit rate = $0.13 per bottle
<u>Option C</u>
- Unit rate = $1.86 / 12
- Unit rate = $0.16 per bottle
Option C has the lowest rate, hence it is the best deal.
Ray is 12 miles from home.
Let x be Ray's distance from home. His distance is one leg of a right triangle; 5, Rosa's distance from home, is the other. The hypotenuse, the distance between them, is 1 more than Ray's distance from home, or x+1. Using the Pythagorean theorem,
5²+x²=(x+1)²
25+x²=(x+1)(x+1)
Multiplying the binomials, we have
25+x²=x*x+1*x+1*x+1*1
25+x²=x²+1x+1x+1
25+x²=x²+2x+1
Subtracting x² from both sides,
25 = 2x+1
Subtracting 1 from both sides,
24 = 2x
Divide both sides by 2, and we have
12 = x
Ray is 12 miles from home.
Answer:
y=-1/4x+5
Step-by-step explanation:
Use the point-slope form which is y-y1=m(x-x1) where m is the slope. In this case, y is equal to 3, and x is equal to 8, and the slope is equal to -1/4. Therefore, the equation will be equal to y-3=-1/4(x-8). Simplify that to get y-3=-1/4x+2. Simplify this again to get y=-1/4x+5. Therefore, the equation is y=-1/4x+5.
