HARD
9th CBSE
IMPORTANT
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The graph below shows the relationship between two scales used for temperature measurement, Celsius and Fahrenheit.

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Which of the following equations represents graph between the Celsius and the Fahrenheit temperature scales?

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Important Questions on Linear Equations in Two Variables

HARD
9th CBSE
IMPORTANT

Revenue generated in an event by a musical band in the city is as per the graph below. How much was amount raised by the band if 12,700 tickets were sold?

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HARD
9th CBSE
IMPORTANT

A school hired a bus for a picnic for a day. The basic rent for the bus was 13,500 for 300 km and 20 for each additional kilometre. 40 students went for picnic and distance travelled was 375 km

 What was the cost of travel per student ?

HARD
9th CBSE
IMPORTANT

Below is a minimal data points between time spent for practice and performance of students in a grade. A linear regression analysis was done to find the correlation between the two variables and based on the best fit, the equation 2x-3y+7=0 was synthesised. 

What are data points that fit exactly in the equation?

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HARD
9th CBSE
IMPORTANT

Below is the graph showing the relationship between income of a person and the income tax the person has to pay to the government. The graph has three segments of straight lines. The equations of the lines operates only within the respective intervals A to B, B to C and beyond C.

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Person P is earning  14 lakhs per annum and person Q is earning  9 lakhs per annum. How much more tax does person P pay than person Q?

HARD
9th CBSE
IMPORTANT
A retailer seeks exchange notes for 20,000 in either 20 or 50 denominations or a mix of both, from a service provider. The service provider deducts  1% of the exchange amount as the fee. What is the minimum and maximum number of notes can the merchant get on this exchange? 
HARD
9th CBSE
IMPORTANT

A farmer took a loan 9,00,000 for agricultural purpose for annual interest of 6%. The loan is to be repaid in monthly instalments with fixed principal amount of 10,000 along with interest for the outstanding principal amount.

Form an equation between two variables x, y where x is the number of months elapsed and y is the monthly instalment. Use the equation to find the minimum number of months post which, his monthly instalment will be equal or fall below 12,000.

HARD
9th CBSE
IMPORTANT

A water tank contains 2000 L of water. The tank is being filled 3 L/s through an incoming pipe and simultaneously water is let out at the rate of 5 L/s.  Form an equation connecting the volume of water in the tank with the passage of time. Also find the time required to get the water in the tank reduced to half of its initial volume.

HARD
9th CBSE
IMPORTANT
Two trains 100 km apart, are approaching each other along a straight path at speed of 90 km/h and 70 km/h. Form a linear equation to find the distance between the two trains and the time. Use the equation to find the distance between the trains at the end of 30 minutes, 37.5 minutes and 1 hour.