The height of a building is proportional to the number of floors. The figure shows the height of a building with 7 floors. Complete parts a and b. h equals 98 ft a. Write the ratio of height of the building to the number of floors. Then, find the unit rate, and explain what it means in this situation.

a. The ratio of the height of the building to the number of floors is

b. The unit rate is 14 feet per floor. The unit rate is the constant of proportionality in this situation

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent

Example; If y is proportion to x, then = constant ratio, this constant ratio is called the constant of proportionality

∵ The height of a building is proportional to the number of floors

- If the height is h and the number of floors is n

∴ = k, where k is the constant of proportionality

∵ The building is 7 floors

∴ n = 7

a.

∵ The height of the building is 98 feet

∴ h = 98

∵ n = 7

∴

∴ The ratio of the height of the building to the number of floors is

b.

To find the unit rate divide the both terms of the ratio by 7

∵  

∴  

∴  

∴ The unit rate is 14 feet per floor

The unit rate is the constant of proportionality in this situation

coin flip

non-answer:

choosing

sorry if this isnt what you're looking for i dont really understand the question

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions