Question

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.

Answer 1

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

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

The amount when x=0 yields starting amount,

y=55(0)+300=300

Learn more about differentiation here:

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