Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider depreciation on expensive items like cars. Businesses use depreciation as a loss when calculating their income and taxes. One company buys a new bulldozer for $109600. The company depreciates the bulldozer linearly over its useful life of 16 years. Its salvage value at the end of 16 years is $17600. A) Express the value of the bulldozer, V, as a function of how many years old it is, t. Make sure to use function notation. B) The value of the bulldozer after 7 years is $

a. V = $109,600  - $5,750(t)

b.  $69,350

Step-by-step explanation:

a. The expression of the value of the bulldozer is as follows

V = $109,600 - (m) × (t)

where,

m = depreciation

t  = time in years

Now the equation would be

$109,600 - 16(m) = $17,600

m = ($109,600 - $17,600) ÷ (16)

= $5,750

Now the expression would be

V = $109,600  - $5,750(t)

b. Now the value of the bulldozer is

= $109,600 - $5,750 × 7 years

= $109,600 - $40,250

= $69,350

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the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!