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Two hot air balloons are traveling along the same path away from a town,

beginning from different locations at the same time. Henry's balloon begins
30 miles from the town and is 48 miles from the town after 2 hours. The
distance of Tasha's balloon from the town is represented by the function y =
8x+ 20.
Which balloon was farther from the town at the beginning, and which traveled
more quickly?
A. Henry's balloon was farther from the town at the beginning, and it
traveled more quickly.
O B. Henry's balloon was farther from the town at the beginning, but
Tasha's balloon traveled more quickly.
O C. Tasha's balloon was farther from the town at the beginning, and it
traveled more quickly
D. Tasha's balloon was farther from the town at the beginning, but
Henry's balloon traveled more quickly.

Two hot air balloons are traveling along the same path away from a town, beginning-example-1
User Rabiyah
by
5.4k points

2 Answers

4 votes

Answer:

it si this

Explanation:

Simplifying

4y + -10 = 5 + -1y

Reorder the terms:

-10 + 4y = 5 + -1y

Solving

-10 + 4y = 5 + -1y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add 'y' to each side of the equation.

-10 + 4y + y = 5 + -1y + y

Combine like terms: 4y + y = 5y

-10 + 5y = 5 + -1y + y

Combine like terms: -1y + y = 0

-10 + 5y = 5 + 0

-10 + 5y = 5

Add '10' to each side of the equation.

-10 + 10 + 5y = 5 + 10

Combine like terms: -10 + 10 = 0

0 + 5y = 5 + 10

5y = 5 + 10

Combine like terms: 5 + 10 = 15

5y = 15

Divide each side by '5'.

y = 3

Simplifying

y = 3

User Ashis Laha
by
5.2k points
6 votes

Answer: A.

Step-by-step explanation: Henrys balloon was farther from the town at the beginning, and it traveled more quickly

I got this right so don't let anyone tell you different

User ChristopherW
by
5.3k points