A paint wholesaler uses the function f(x)=2\sqrt{x}f(x)=2

x



to determine the cost, in dollars, to buy xx gallons of paint. Find and interpret the given function values and determine an appropriate domain for the function.

Round your answers to the nearest cent.


f(0)=f(0)=

, meaning the cost of buying

gallons of paint would be $

. This interpretation

in the context of the problem.

f(70)=f(70)=

, meaning the cost of buying

gallons of paint would be $

. This interpretation

in the context of the problem.

f(58.5)=f(58.5)=

, meaning the cost of buying

gallons of paint would be $

. This interpretation

in the context of the problem.

Based on the observations above, it is clear that an appropriate domain for the function is

.

Respuesta :

Answer:

[tex]f(0) = 0[/tex]

[tex]f(70) = 16.74[/tex]

[tex]f(58.5) = 15.30[/tex]

[tex]x \geq 0[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2\sqrt x[/tex]

Solving (a): f(0)

[tex]f(x) = 2\sqrt x[/tex]

[tex]f(0) = 2 * \sqrt 0[/tex]

[tex]f(0) = 2 * 0[/tex]

[tex]f(0) = 0[/tex]

Interpretation:

This implies that, the cost of 0 paints is $0

Solving (b): f(70)

[tex]f(x) = 2\sqrt x[/tex]

[tex]f(70) = 2 * \sqrt{70[/tex]

[tex]f(70) = 2 * 8.37[/tex]

[tex]f(70) = 16.74[/tex]

Interpretation:

This implies that, the cost of 70 paints is $16.74

Solving (c): f(58.5)

[tex]f(x) = 2\sqrt x[/tex]

[tex]f(58.5) = 2 * \sqrt{58.5[/tex]

[tex]f(58.5) = 2 * 7.65[/tex]

[tex]f(58.5) = 15.30[/tex]

Interpretation:

This implies that, the cost of 58.5 paints is $15.30

Solving (d): The domain

[tex]f(x) = 2\sqrt x[/tex]

Set the radicand x to [tex]\geq 0[/tex]

i.e.

[tex]x \geq 0[/tex]

Hence:

The domain is [tex]x \geq 0[/tex]

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