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The table below lists the average fuel economy of motor vehicles at various speeds.CAN'T COPY THE GRAPHa) Use regression to find a quartic function $c$ that can be used to estimate the average fuel economy at a speed of $x$ miles per hour. Round coefficients to six decimal places.b) Estimate the average fuel economy at $15 \mathrm{mph}$.c) For what speeds is the average fuel economy$25 \mathrm{mpg} ?$

a. $r(x)=-0.0109169 x^{2}+1.038862+6.468417$b. 20c. 24

Algebra

Chapter 6

Polynomial Factorizations and Equations

Section 7

Applications of Polynomial Equations

Graphs and Statistics

Exponents and Polynomials

Equations and Inequalities

Polynomials

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McMaster University

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Lectures

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So in this question, if I observed carefully, I have to find a envy so that it off x equal to explore, be immortals. The date exactly. So if I write f of x equal toe explodes be, I'll put random values. First of all, 115 is equal to five plus b Next wonder 30 z caldo, then there plus B. So if I call this in Question one. And if I call this as a question, too, when I subtract this I love when 15 is equal to five, all of this I'm grating by doing the question to minus the question one. So from here I love is a photo 23 on substituting this putting Any question one I allow 115 is 1/4 23 in tow, five plus B. So from here on, said B is equal to zero. So that is a values off A and B let so that love of process still data point in their table. All right, now, in the next part interpreted the slope off graphic. So if I talk about slope, Slope is equal to y tu minus y one. So I'll write it US 115 minus 230 Be right away. Five minus 10. So I can write it. US minus 115 divided WiFi. So I can say Slope M is a caldo minus five on minus 115 So that is equal to 23. Next part. How many miles could be driven using particulates of gasoline. So here I have the data 10 12 and 16. So for this I have to find out the affects relation that waas X plus B and we found, or this one This is nothing but 23 x and be 10 So F 20 will be called 23 20. So that is a photo 460 miles. So that's where to be. So that's going to be there. Distance that can be driven using 20 gallons of gasoline. I over. It's clear. Thank you.

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