Answer: 1. A. y=17x
2. $59.50
Step-by-step explanation:
1. In the table , it can be seen that as x increases y increases with the proportionality constant k = ,.
Equation of direct variation between x and y :
Put k= 17 , we get
, which is the required equation.
So correct option is "A".
2. To find : The charge for renting a machine for 3.5 hours.
Put x= 3.5 in above equation , we get
Hence, the charge for renting a machine for 3.5 hours is $59.50.
So correct option is "B".
Answer:
<u>800 liters</u> of 90% saline solution and <u>1200 liters</u> of 40% saline solution should be used.
Step-by-step explanation:
Given:
At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.
Now, to find the number of liters of saline solution each should be used.
<u><em>Let the liters of 90% saline solution mix be </em></u><u><em /></u>
<u><em>And let the liters of 40% saline solution mix be</em></u>
So, the total number of liters:
Now, the total percentage of saline solution:
Substituting the value of from equation (1) we get:
Subtracting both sides by 800 we get:
Dividing both sides by 0.5 we get:
<u>The liters of 90% saline solution mix = 800.</u>
Now, substituting the value of in equation (1) to get the liters of 40% saline solution:
<u>Thus, the liters of 40% saline solution = 1200.</u>
Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.