Answer: Y=-5x+30
Step-by-step explanation:
First, you have to find the slope of graph so you find the rise over run Y/X. Since the X values are being measured by 1’s, and the Y values are being measure by 5’s, your slope would be -5 (not 5 as the graph line is decreasing therefore it is negative). To find b, you find the Y intercept of the graph (where Y is when X=0) and in this case, the y intercept is 30. So the equation that describes what is occurring in the graph is Y=-5x+30 as a linear equation is written as Y=mx+b. You can check If the equation is correct by substituting the x and y values of a specific coordinate point on the graph. For example: 25= -5(1)+30. This gives you 25=25 so the equation is correct.
Answer: Kayla used 2 5/24 cups of paint all together.
Step-by-step explanation:
Kayla paints a bookcase by using
1 5/6 cups of paint on the outside of the bookcase. Converting 1 5/6 cups to improper fraction, it becomes 11/6 cups of paint.
She also used 3/8 cup of paint on the inside.
Therefore, the total number of cups of paint that Kayla used all together would be
11/6 + 3/8 = (44 + 9)/24 = 53/24 cups of paint. Converting to mixed fraction, it becomes
2 5/24 cups of paint
Answer:
1) Yes, 1/2 and 2
2) b=1/2 × t
t=2 × b
Step-by-step explanation:
1) Yes, because <em>every</em> package of a toy equals 2 batteries. The constant of proportionality is 1/2 and 2 because 1 ÷ 2 = 1/2 and 2 ÷ 1 = 2 (amount of toys divided by amount of batteries and vice versa)
2) b = 1/2t, because for every battery, there is 1/2 a toy.
t = 2b, because for every toy, there are 2 batteries
<em>note: you can't actually have 1/2 a toy, </em><em>but</em><em> </em><em>we</em><em> </em><em>write</em><em> </em><em>it</em><em> </em><em>like</em><em> </em><em>that</em><em> </em><em>for</em><em> </em><em>the</em><em> </em><em>sake</em><em> </em><em>of</em><em> </em><em>showing</em><em> </em><em>the</em><em> </em><em>relationship</em><em> </em><em>of</em><em> </em><em>toy</em><em> </em><em>to</em><em> </em><em>battery</em><em>. </em>
