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Jessica is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x represent the number of weeks Jessica has been adding money. Suppose that x and y are related by the equation =+55030xy.

Sagot :

After differentiating, the amount when x=0 yields starting amount,

300 dollars.

What is diffrentiation?

  • A technique for determining a function's derivative is differentiation.
  • A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of variation based on a particular variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time.
  • In mathematics, differentiation is used to determine change rates. 

Differentiating the given equation with respect to x,

Given equation,

y= 55x+ 300

[tex]\frac{dy}{dx} =\frac{d(55x+300)}{dx} = 55+0 =$55[/tex] dollars.

The amount when x=0 yields starting amount,

y=55(0)+300=300

Learn more about differentiation here:

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