A hot air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate. Which table shows the relationship between the time in seconds, x , and the height of the balloon in feet, y?

D

Step-by-step explanation:

If after 5 seconds the height was 20 feet then  in 10 seconds it will be 40 feet  and in 20 seconds it will be 80 seconds.

To get from 5  to 10 you multiply by 2

To get from 20 to 40 you multiply by 2.

Since you have a constant change then it works for D only.

answer: plz put a pic in so i can answer it

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places