It does represent a direct variation.
Direct variation: y = kx
y varies directly with x
Your equation 2y = 5x + 1 is in the form of y = kx but we need to divide out the 2 from 2y so we have the following
2y = 5x + 1
2y / 2 = 5 x/ 2 + 1/2
y = 5x / 2 + 1/2
y = kx
k = 5/2
k = constant of variation = 5/2
<span>So we want to know the number from which we take 25% and get 80. If the number we are looking for is x, then the equation to find that x would be: (25/100)*x=80 which says twenty five percent out of x is equal 80. So, x=(80*100)/25. And finally, x= 8000/25=320. So, 25% out of 320 is 80.</span>
(-5,1)(6,-2)
slope = (-2-1) / (6-(-5) = -3/(6 + 5) = -3/11
y = mx + b
slope(m) = -3/11
(-5,1)...x = -5 and y = 1
now we sub and find b, the y int
1 = -3/11(-5) + b
1 = 15/11 + b
1 - 15/11 = b
11/11 - 15/11 = b
-4/11 = b
equation in slope int form : y = -3/11x - 4/11
3/11x + y = - 4/11....multiply by 11
3x + 11y = -4 <== standard form
(4,-2)(4,8).....if u will notice, both the x values are the same. This means the lines are vertical with an undefined slope. Your equation is : x = 4.
If you wanted to write 4/10 as a decimal it would be .4
Answer:
$44,000
Step-by-step explanation:
The statement indicates that Sandra saves 9% of her salary and she saved $4,050 this year. That means that the 9% of her salary, x, is equal to $4,050. You can write the following:
x*0.09= 4,050
Now, you can isolate x to find her salary this year:
x=4,050/0.09= 45,000
Then, you have that this year salary was 1000 more than in her previous year. As you have found her salary for this year, you can subtract 1,000 from it to find her salary in the previous year:
45,000-1,000= 44,000
According to this, the answer is that her salary in the previous year was $44,000.