5 (a) The scatter diagram shows the distance travelled and the cost for each of 12 taxi journeys. 25 20 15 Cost ($) 10 5 0 0 2 4 6 8 10 Distance (km) (i) ‘The scatter diagram shows positive correlation.’ Is this statement true or false? Give a reason for your answer. ................ because ............................................................................................................... ............................................................................................................................................. [1] (ii) On one journey, the cost per kilometre travelled was much more expensive than on all of the other journeys. Draw a ring around this point on the scatter diagram. [1] (iii) Draw a line of best fit on the scatter diagram. [1] (cid:300)(cid:217)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:250)(cid:183)(cid:254)(cid:215) © UCLES 2024 (cid:300)(cid:232)(cid:173)(cid:241)(cid:206)(cid:292)(cid:249)(cid:269)(cid:229)(cid:243)(cid:264)(cid:186)(cid:224)(cid:231)(cid:193)(cid:276)(cid:286)(cid:258) 0580/31/O/N/24 (cid:293)(cid:229)(cid:293)(cid:213)(cid:245)(cid:245)(cid:261)(cid:277)(cid:261)(cid:197)(cid:261)(cid:197)(cid:261)(cid:277)(cid:293)(cid:277)(cid:245)(cid:213) M SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0000800000011 * 11 (cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:2)(cid:44) (iv) Another journey is 8 km long. Use your line of best fit to find an estimate for the cost of this journey. $ ................................................. [1] (b) Arit, Luke and Marie share the cost of a taxi journey. The cost is $26.40 . (i) Calculate how much Arit pays if they share the cost equally. $ ................................................. [1] (ii) They decide to share the cost in proportion to the distance they each travel in the taxi. Arit travels 12 km, Luke travels 3 km and Marie travels 7.5 km. (a) Write the ratio 12 : 3 : 7.5 in its simplest form. ................ : ................ : ................ [2] (b) Calculate how much more Arit pays than if they share the cost equally. $ ................................................. [3] (c) Jin invests some money from his taxi company. He invests $18 600 at a rate of 1.7% per year compound interest. Calculate the value of the investment at the end of 6 years. Give your answer correct to the nearest dollar . $ ................................................. [3] © UCLES 2024 (cid:300) (cid:300) (cid:219) (cid:232) (cid:266) (cid:174) (cid:174) (cid:242) (cid:288) (cid:214) (cid:180) (cid:294) (cid:237) (cid:245) (cid:200) (cid:285) (cid:245) (cid:212) (cid:207) (cid:261) (cid:298) (cid:249) (cid:197) (cid:239) (cid:266) (cid:252) (cid:222) (cid:207) (cid:252) (cid:277) (cid:183) (cid:276) (cid:254) (cid:270) (cid:215) (cid:258) 0580/31/O/N/24 [Turn over (cid:293)(cid:229)(cid:277)(cid:277)(cid:181)(cid:277)(cid:293)(cid:245)(cid:277)(cid:181)(cid:213)(cid:197)(cid:261)(cid:245)(cid:261)(cid:213)(cid:293)(cid:213) NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0000800000012 * 12 (cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:3)(cid:44) NIGRAM