Find the value of y for a given value of x, if y varies directly with x.
1 answer:
Answer:
The value of y is 92 . The complete steps of the solution is provided below.
Step-by-step explanation:
We are given with
* y varies directly with X
* If y=128 when x=64.
The equation for direct variation equation is y= k x.
Where 'k' is constant of variation.
By putting the values of x and y, we can find the value for k.
→ 128 = k (64)
Divide both sides by 64.
→ = k
Simplify it.
→ 2= k or k =2
Plug in back 'k' as 2 into the equation y=k x.
We get y=2 x.
We are asked to find the value y when x=46.
Plug in x as 46 into the equation.
⇒ y=2(46)
⇒ y= 92
Thus the answer is 92.
Learn more:
You might be interested in
Answer:
B
Step-by-step explanation:
For 11 1/2 gallons, he paid $36.80.
We need to find the cost per gallon.
First, converting 11 1/2 gallons to decimal, it is:
1/2 = 0.5
So, 11 1/2 is 11.5 gallons
So, Cost Per Gallon (last week) =
There is 5% increase on this $3.20 per gallon. We find 5% of 3.2 and add it to 3.2 to find this week's cost per gallon.
<em>5% = 5/100 = 0.05</em>
<em>0.05 * 3.20 = 0.16</em>
<em>So,</em>
<em>3.20 + 0.16 = $3.36 per gallon</em>
<em />
Cost Per Gallon (this week) = $3.36
To buy 9 1/4 gallons it would take:
<u>Note:</u> 1/4 = 0.25, so 9 1/4 = 9.25
It would cost $31.08 to buy 9.25 gallons this week
Correct answer is B