As a person cycling increases speed, the rate of calories burned, distance traveled, and energy expended also increase. Which of the following is the independent variable?
Energy
Calories
Speed
Distance
Correct Answer : C
an independent variable is one that when changed, causes the other variable(s) to change. In our case, calories burned, distance traveled, energy used increase when cycling speed increases.
Therefore, speed is the independent variable while other variables are dependent.
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Related Questions
Correct Answer is A
Explanation
We use 1 L =1000 mL to convert between the two units. The conversion fractions of interconverting are:
And
Since we want to end up with millimeters, the second conversion is used in converting L to mL as:
Thus, 0.5 L is equivalent to 500 mL.
Correct Answer is C
Explanation
To solve this equation, we use a calculator and find the product as:
2.50*0.25=0.625
Correct Answer is B
Explanation
we are asked to find the largest value from the options given. To solve this problem, we need to convert all the given values into fraction. Then find the least common denominator for all fractions, which we will use to multiply each fraction and make a comparison.
34÷96=
3/8=3/8
0.372=372/1000
37%=37/100
Now, we need to find the least common denominator of 48, 8, 1000, and 100, which is 6000. We multiply each fraction by 6000 as follows:
17/48*6000=2125
3/8*6000=2250
372/1000*6000=2232
37/100*6000=2220
From the above calculations, arranging the fraction from the largest to the smallest in order is: 3/8, 372/1000,37/100, and 17/48. Thus, the greatest value is 3/8.
Correct Answer is C
Explanation
the question requires we find the cost of two syringes.
If we let x be the cost of two syringes, then we set up a proportion equation with cost as numerator and number of syringes as denominator. The proportion equation becomes
Cross-multiply to solve for x
Rearranging the above
Divide both sides by 35
The cost of 2 syringes is $32.
Correct Answer is B
Explanation
We are told to find the area of the pizza given its diameter. The pizza is in circular form, and its area is found as:
However, we are not given r, which is the radius of the circle. But we can find it from the given diameter as
Substituting r=8 in the equation of the area of a circle
Thus, the area of the pizza is 64 Â in2.
NOTE:Â Â (Pi) remains as a symbol because values of Pi can vary from 22/7 to 3.1415 to 3.14 and so forth.
Correct Answer is C
Explanation
In this problem, we assume the truck carries a whole cargo. Thus, total weight is 516 lb divided by 1/3. Thus,
We change the division sign to product and multiply 516 by reciprocal of 1/3. Then,
The weight of the cargo will be 1548 lbs.
Correct Answer is C
Explanation
to find the average time the athlete runs in 1 mile, find total time divided by total distance covered.
Total distance=4+4=8 miles
Total time=28+32 =60 minutes
From the above, the athlete runs 8 miles in 60 minutes, so the athlete will take how minutes to cover 1 mile.
So, the athlete covers 1 mile in 7.5 minutes.
Correct Answer is C
Explanation
we follow the order operations to solve for the unknown value of x.
2(4x+3)=7x+5
Open the bracket on the LHS by multiplying each term by 2
(2*4x)+(2*3)=7x+5
8x+6=7x+5
Subtract 6 from both sides
8x+6-6=7x+5-6
8x=7x-1
Subtract 7x on both sides
8x-7x=7x-7x-1
X=-1
Thus, the value of unknown value of x is -1.
Correct Answer is A
Explanation
We asked to convert kg to pounds. There are two ways of converting between kg and pounds
And
Since we are asked to find pounds, we use the second option for kg to cancel during conversion as follows:
Thus, 50 kg is equal to 110 lb.
Correct Answer is C
Explanation
an independent variable is one that when changed, causes the other variable(s) to change. In our case, calories burned, distance traveled, energy used increase when cycling speed increases.
Therefore, speed is the independent variable while other variables are dependent.
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