\[\text{the number of cups of rice } (x) : \text{the number of cups of water } (y) = 4 : 5\]
(a) Use this information to draw a graph to show the relationship between the number of cups of rice and the number of cups of water needed to cook rice.(2)
(b)
(i) Find the gradient of the line drawn in part (a). (1)
(ii) Explain what this gradient represents. (1)
Mark scheme (a)
Answer
Mark
Mark scheme
Graph drawn
B2
for a correct line drawn
(B1
for stating or plotting at least 2 points on the line eg \((0, 0)\) and \((4, 5)\) or \((4, 5)\) and \((8, 10)\) or giving the equation of the line eg \(y = \dfrac{5}{4}x\))
Mark scheme (b)
Answer
Mark
Mark scheme
(i) 1.25
B1
oe or ft their line in part (a)
(ii) Explanation
C1
for explanation Acceptable examples the number of cups of water per cup of rice every cup of rice has 1.25 cups of water for every 4 cups of rice there are 5 cups of water
Not acceptable examples cups of water ÷ cups of rice the gradient represents the steepness of the line the number of cups of rice for each cup of water
Additional guidance
(i) Accept answers in the form \(\dfrac{a}{b}\) where \(a\) and \(b\) are integers
(ii) If figures are given as part of the answer they must be correct, but can allow ft
