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2 years ago

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A scatter plot was made to show the value of certain cars based on the age of the car in years. The equation of the scatter plot

's trend line is y = -1,700x +
32,000 where y is the value of the car in dollars, and x is the age of the car in years.
Use the trend line equation to predict the value of a car after 7 years.
O A. $18.82
O B. $18,820
O C. $25,000
O D. $20,100

2 answers:

Mashutka [201]2 years ago

6 0

Am not sure but I think it C

ozzi2 years ago

4 0

Answer:

I think it's D.

Step-by-step explanation:

So if the x is -1,700 and it stands for the years, then times it by 7. That would make -11,900. After you times it, add the 32,000 dollars and you would get $20,100. (I might have done the math wrong but I think this is the answer,)

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alukav5142 [94]

In this problem, we need to plug in the given x values for $f(x)=0$ and find a and b.

When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
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We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
$2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0$
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Now we have our second one. We can combine them:
$a + b = 17 \\ 4a + b = 32$

I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
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Simplify:
$a = 5$

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9 months ago