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lina2011 [118]
3 years ago
14

Graph y=8.5xy=8.5xy, equals, 8, point, 5, x.

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
3 0

Answer:

  • A, B, E

Step-by-step explanation:

<u>Given equation</u>

  • y = 8.5x

<u>Answer choices</u>

A. The equation represents a proportional relationship.

  • TRUE, it is in the form of y = kx

B. The unit rate of change of y with respect to x is 8.5

  • TRUE, y = mx + b, the slope m = 8.5 is the rate of change

C. The slope of the line is 2/17

  • False, the slope is 8.5

D. A change of 17 units in x results in a change of 2 units in y.

  • False, a change of x = 17 results in 17*8.5 = 144.5 units in y

E. A change of 4 units in x results in a change of 34 units in y.

  • TRUE, because 4*8.5 = 34
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Ok, it's all pretty much like the "$50 coat is on sale for $35". 

<span>If the regular price of the coat is $50 and now it is on sale for $35, then it will cost you $15 less, like this: </span>
<span>$50 - $35 = $15 </span>

<span>You could also say the coat was discounted by $15, or the coat was reduced by $15, or you'll save $15 if you buy that coat ($50 - $15 = 35). </span>

<span>You could also put it in terms of percentages. If the discount is $15, you can figure that $15 is what percent of the regular price, like this: </span>
<span>$15 = X% of $50 </span>
<span>$15 = X% x $50 (divide both sides by 50 to isolate X) </span>
<span>15/50 = X% </span>
<span>.30 = X% (multiply by 100 to convert to a non-decimal) </span>
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<span>So, you can say all of the following and they all mean the same thing: </span>
<span>1. the $50 coat is on sale for $35 </span>
<span>2. the $50 coat is discounted by $15 </span>
<span>3. the $50 coat is reduced by $15 </span>
<span>4. you'll save $15 if you buy this coat </span>
<span>5. the $50 coat is on sale for 30% off </span>
<span>6. the $50 coat is discounted by 30% </span>
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<span>9. Save 30%! </span>

<span>So, how does that apply to the $18,000 a year? Ok, if Shelby earns $18,000 this year and then earns $19,500 next year, then she gets an additional $1,500 ($19,500 - $18,000 = $1,500). In the coat problem, everything was discounted, on sale, going down. In this problem, everything is going up, increasing. </span>

<span>You know the dollar increase is $1,500. To figure the percent increase, you need to figure out that $1,500 is what % of $18,000. Remember, it's not the $19,500 that was increased; it was an increase on the $18,000: </span>
<span>$1,500 = X% of $18,000 </span>
<span>1,500/18,000 = X% </span>
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<span>One more: If Shelby get a 10% increase in her salary at the end of one year, that's the same as saying that Shelby gets her salary plus she gets 10% more, like this: </span>

<span>$18,000 + (10% of $18,000) = </span>
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<span>For the second year, her salary begins at $19,800 and increases 10%, like this: </span>
<span>$19,800 + (10% x $19,800) = </span>
<span>$19,800 + $1,980 = </span>
<span>$21,780 end of second year </span>

<span>You can do it from here.</span>
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