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Which of the following equations best describes the linear relationship shown in the table, where $g$ represents the number of pounds of grain sold and $d$ represents the price in dollars of one pound of grain?a.$g = 1.2 d+12,500$b.$g = 12,500 d+15,000$c.$g$ = $-12,500 d+17,500$d.$g$ =$-12,500 d+30,000$
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this word problem with the probably a medium level question. All right. We've got a price of £1 projected in the number of pounds soaps. Got this information If you take a quick peek at the answer choices, equations were given a slope intercept form. So start by finding the slope, substitute two pairs of eyes from the table. I would pick easy ones if you can, into the slow formula where the slow formula is the difference of your wife coordinates over the difference of your ex ordinates actually memorized. Keep in mind of the projected number of council depends on the price of the prices. The independent variable X in the projected number is the dependent variable wide. So I'm gonna pick the points 1.2 15,000 in 2.2 2500 just their hands. Then my slope would be equal to, um, 2500 minus 15,000. Those air my wife hornets over my export its 2.20 minus 1.20 And so that's equal to negative 12,500 over one or just negative 12,500. So our choices a B C and D. We can eliminate a and be because Slope is not correct. Don't let the fool you The projected number of pounds photos down. A surprise goes up. So there's an inverse relationship, which means the slope must be negative. Choose between C and D. You could find the Y intercept of the line and to do this point with easy values like two and 5000 for, um, implode. 5000 in for Why into in for X. So if y equals MX plus B in our slope intercept form and why is 5000? And we know that in this negative 12,500 exit is, too. By picking $2 I could just put two in for X and solved For B, this would mean 5000 is equal to negative 25,000 plus B or B when you add 25,000 to both sides is 30,000. This means he is correct
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