A jet ski company charges a flat fee of $26.00 plus $3.25 per hour to rent a jet ski. Another company charges a fee of $24.00 plus $3.50 per hour to rent the same jet ski.
Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour.
26.00+3.25x=24.00+3.50.
The Answer is 8!
correct
make sure your equation is
26.00+3.25x=24.00+3.50x
Yep thanks.
For the gummy equation you dont really need to do anything. Just look and see which answer has two times as many gummies as jelly beans. The answer is B.
A candy store makes a 9-pound mixture of gummy candy, jelly beans, and hard candy. The cost of gummy candy is $2.00 per pound, jelly beans cost $3.00 per pound, and hard candy costs $3.00 per pound. The mixture calls for two times as many gummy candy pieces as jelly beans. The total cost of the mixture is $23.00. How much of each ingredient did the store use?
A.
3 lbs. gummy candy, 2 lbs. jelly beans, 4 lbs. hard candy
B.
4 lbs. gummy candy, 2 lbs. jelly beans, 3 lbs. hard candy
C.
4 lbs. gummy candy, 3 lbs. jelly beans, 2 lbs. hard candy
D.
2 lbs. gummy candy, 3 lbs. jelly beans, 4 lbs. hard candy
What is the minimum value for z=3x-1/2y over the feasibility region defined by the constraints?
a.-4
b.-5
c.-3
d.-6
constraints
x greater than or equal to 0
y less than or equal to 8
y greater than or equal to x
y greater than or equal to -1/2x+6
X Lbs. of jelly beans.
2x Lbs. of gummy candy.
9-(x+2x) = (9-3x) Lbs. of hard candy.
3*x + 2*2x + 3*(9-3x) = 23.00.
3x + 4x + 27-9x = 23
X = 2.0 Lbs. of jelly beans.
2x = 2 * 2 = 4 Lbs. of gummy candy.
9-3x = 9-3*2 = 3 Lbs. of hard candy.
To find the number of hours for which the costs are the same, we need to set up an equation and solve it. Let's denote the number of hours by x.
For the first company, the cost is given by the equation: Cost = 26 + 3.25x.
For the second company, the cost is given by the equation: Cost = 24 + 3.50x.
To find the number of hours where the costs are the same, we need to set these two equations equal to each other:
26 + 3.25x = 24 + 3.50x.
Let's solve this equation using a graphing calculator:
1. Enter the equation into the graphing calculator. On most graphing calculators, you can do this by pressing the "y=" button or selecting an appropriate menu option.
2. For the first equation, enter "26 + 3.25x" on one side. For the second equation, enter "24 + 3.50x" on the other side.
3. Once you have entered both equations, press the graph/plot button. This will graph both equations on the same graph, showing you where they intersect.
4. Look for the point where the two lines intersect. This represents the number of hours for which the costs are the same. Use the cursor or other appropriate tools on your graphing calculator to find this point.
5. Once you have found the point, note the x-coordinate. This is the number of hours (rounded to the nearest whole hour) where the costs are the same.
By following these steps, you will be able to use a graphing calculator to find the number of hours for which the costs are the same.
$MimiReckless, so wrong (2022)
(0, -3)
8
1st graph
x+y=700
2x+4.5y=1200
1st graph
-1
6 lbs. gummy candy, 2 lbs. jelly beans, 5 lbs. hard candy
no solutions
2x-3y=10
5x+6y=-12
For anybody else that still need it!!
Linear systems unit test pt 1
1. C
2. 8
3. B
4. D
5. A
6. A
7. B
8. D
9. A
10. D
You should get atleast a 90%!! That’s what I got 💗