At the beginning of spring, Lydia planted a small sunflower in her backyard. The sunflower's height in inches, h, after w weeks, is given by the equation h=3.75w+14. What is the meaning of the h-value when w=1?

Step-by-step explanation:

Here,

h = 3.75w + 14

=> h = 3.75(1) + 14

=> h = 17.75 inches

So,

We can conclude that this equation shows : How much the sunflower grows, in inches, each week.

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