Maths-
General
Easy
Question
C = 10x + 4y
The formula above gives the monthly cost C, in dollars, of operating a delivery truck when the driver works a total of x hours and when y gallons of gasoline are used. If, in a particular month, it cost no more than $ 2,000 to operate the truck and at least 150 gallons of gas were used, what is the maximum number of hours the driver could have worked?
- 125
- 140
- 500
- 1,400
The correct answer is: 140
Given equation is C = 10x + 4y…(i)
Where C is the monthly cost in dollars, x is the total time in hours and y is the gallons of gasoline used.
In a particular month,
C = $ 2000 (given)
y = 150 (given)
Substitute the values in equation (i).
Thus we get, 2000 = 10x + 4 × 150 = 10x + 600
On subtracting 600 from both the sides, we get 1400 = 10x
This can be written as 10x = 1400
Divide both the sides by 10.
We get, x = 140
So the driver could have worked for a maximum of 140 hours.
Hence option B is the answer.
Related Questions to study
Maths-
A farmer sold 108 pounds of produce that consisted of z pounds of zucchini and c pounds of cucumbers. The farmer sold the zucchini for $ 1.69 per pound and the cucumbers for $ 0.99 per pound and collected a total of $ 150.32. Which of the following systems of equations can be used to find the number of pounds of zucchini that were sold?
A farmer sold 108 pounds of produce that consisted of z pounds of zucchini and c pounds of cucumbers. The farmer sold the zucchini for $ 1.69 per pound and the cucumbers for $ 0.99 per pound and collected a total of $ 150.32. Which of the following systems of equations can be used to find the number of pounds of zucchini that were sold?
Maths-General
English-One-to-One
The idiom ‘A change of heart’ means_______.
The idiom ‘A change of heart’ means_______.
English-One-to-OneGeneral
General
Choose the one which best expresses the meaning of the idioms and phrases: Ram sold their house because it was a real white elephant
Choose the one which best expresses the meaning of the idioms and phrases: Ram sold their house because it was a real white elephant
GeneralGeneral
General
The meaning of the idiom, ‘fall on deaf ears’ means:
The meaning of the idiom, ‘fall on deaf ears’ means:
GeneralGeneral
Maths-
The box plots given summarize the distribution of the number of fish caught each day on two commercial fishing boats for a season. By how many fish does the median number of fish caught each day on Boat B exceed the median number on Boat A?
The box plots given summarize the distribution of the number of fish caught each day on two commercial fishing boats for a season. By how many fish does the median number of fish caught each day on Boat B exceed the median number on Boat A?
Maths-General
Maths-
What value of x satisfies the equation above?
What value of x satisfies the equation above?
Maths-General
Maths-
If ax + a = 3, where a is a nonzero constant, which of the following must be equal to x + 1 ?
If ax + a = 3, where a is a nonzero constant, which of the following must be equal to x + 1 ?
Maths-General
Maths-
The equation above is true for all x > 2, where r and t are positive constants. What is the value of rt?
The equation above is true for all x > 2, where r and t are positive constants. What is the value of rt?
Maths-General
Maths-
The wholesale price of a kilogram of lentils decreased by 1% from the previous month for six consecutive months. If x is the number of months since the price began to drop and y is the cost of a kilogram of lentils, which of the following equations could model the cost of lentils over this time period?
The wholesale price of a kilogram of lentils decreased by 1% from the previous month for six consecutive months. If x is the number of months since the price began to drop and y is the cost of a kilogram of lentils, which of the following equations could model the cost of lentils over this time period?
Maths-General
Maths-
A baker is gathering the ingredients required to make 15 batches of oatmeal cookies and 1 cake. The cake will require one-quarter bag of flour. The baker needs a total of more than 3 but less than 4 bags of flour. What is one possible value for the fraction of one bag of flour required for each batch of cookies?
A baker is gathering the ingredients required to make 15 batches of oatmeal cookies and 1 cake. The cake will require one-quarter bag of flour. The baker needs a total of more than 3 but less than 4 bags of flour. What is one possible value for the fraction of one bag of flour required for each batch of cookies?
Maths-General
Maths-
For the system of equations above, what is the value of the product 
?
For the system of equations above, what is the value of the product ?
Maths-General
Maths-
A car was listed with a price of $12,000. The price decreased by p% to $9600. What is the value of p ?
A car was listed with a price of $12,000. The price decreased by p% to $9600. What is the value of p ?
Maths-General
Maths-
A painting crew painted a total of 20 houses in July. In August, the number of houses the crew painted was 20 percent more than the number of houses they painted in July. What fraction of the total number of houses the crew painted in July and August was painted in August?
A painting crew painted a total of 20 houses in July. In August, the number of houses the crew painted was 20 percent more than the number of houses they painted in July. What fraction of the total number of houses the crew painted in July and August was painted in August?
Maths-General
Maths-
The line graph shows the total length, in miles, of major commercial railroad tracks in the United States from 1916 to 1976
Length of Major Commercial Railroad Tracks in the United States
The average rate of change, in miles per year, of the total length of major commercial railroad tracks in the United States from 1916 to 1926 is m. What is the value of m ?
The line graph shows the total length, in miles, of major commercial railroad tracks in the United States from 1916 to 1976
Length of Major Commercial Railroad Tracks in the United States
The average rate of change, in miles per year, of the total length of major commercial railroad tracks in the United States from 1916 to 1926 is m. What is the value of m ?
Maths-General
Maths-
Eyespot is a disease in corn that is caused by a fungus. An agricultural researcher investigated whether the presence of eyespot necessitated treatment of a cornfield using fungicide. The table shows the relationship between the presence of eyespot in a cornfield and the need to use fungicide.
According to the table, what fraction of the cornfields where an eyespot was observed needed fungicide?
Eyespot is a disease in corn that is caused by a fungus. An agricultural researcher investigated whether the presence of eyespot necessitated treatment of a cornfield using fungicide. The table shows the relationship between the presence of eyespot in a cornfield and the need to use fungicide.
According to the table, what fraction of the cornfields where an eyespot was observed needed fungicide?
Maths-General
