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Functional Skills Maths Level 2 Linear Rules and Rates of Change — practice questions

22 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.

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A mobile tariff adds the same amount to the bill for every extra minute used. Plotted against the number of miA van hire firm works out the cost with the rule C = 0.42d + 35, where C is the cost in pounds and d is the diA prepaid meter starts with 240 units of credit and loses 12 units each day, so the credit left follows the ruA tank fills at a steady rate. After 3 minutes it holds 46 litres, and after 8 minutes it holds 96 litres. At A delivery firm works out a rate of change using cost in pounds as the output and the number of parcels as theTwo straight-line charges are drawn on the same axes. One has a rate of change of 6 and the other has a rate oA gym records the total paid against the length of membership. Two months costs £74 and six months costs £158.A courier is paid a fixed weekly amount plus the same sum for each parcel delivered. A week with 12 parcels paWorking out a rate of change from two readings, a trainee uses the later reading first and the earlier one secA savings pot follows the rule S = 620 - 40w, where S is the amount left in pounds after w weeks. To find the A phone credit balance follows B = 45 - 3.75d, where B is the balance in pounds and d is the number of days. OFour charges are written as rules. Which one never reaches zero, so its line never crosses the horizontal axisSomeone claims that a straight-line charge might never cross the vertical axis. Is that possible for a rule thA line is drawn straight up the page, so every point on it has the same input value but many different output A standing charge of £9 is added to a bill whatever the usage, so the amount stays at £9 as usage rises. What Two tariffs are drawn on the same axes. They never meet, however far the lines are extended in either directioOne line has a rate of change of 4. A second line crosses it at a right angle. What is the rate of change of tTwo straight lines have rates of change of 5 and minus 0.2. Multiplying the two rates together gives minus 1. When drawing a straight-line rule by working out points, two points are enough to draw the line. Why is a thirA rule has a rate of change of 3 over 4. Starting from a plotted point, how do you step across to the next poiTwo charges have exactly the same rate of change, but one adds an extra £15 to every total. How do their two lA rule is built from the plain rule y = x by first making it steeper and then shifting it up the page. Why mus