Question textGuidelines to answer the following question:Fill in the blanks with the correct answers. Do NOT use any spaces or brackets. For all numerical answers, give EXACT values (i.e. do not round your answers) unless instructed otherwise in the question. If using fractions, give answers as SIMPLIFIED fractions using the forward slash (e.g. 1/2 or 5/4). Use - for any negatives. _____________________________________________________________ This question is worth 1+ 3 + 2 + 3 + 1 = 10 marks.For a person with sensitive skin, the amount of time [math: t] (in minutes) the person can be exposed to the sun with minimal burning can be modelled by: [math: S=0.56t+36.7t+1], [math: 0≤t≤15], where [math: S] is the sun strength reading. a) What is the sun strength reading after 1 minute?Answer: Answer 1 Question 6[input] units [1 mark]b) After how many minutes is the sun strength reading predicted to be half its initial value?The initial reading is [math: S=] Answer 2 Question 6[input] unitsTherefore, for the sun strength reading to be half its initial value, this means [math: S=] Answer 3 Question 6[input].This happens after Answer 4 Question 6[input] minutes (rounded to 2 decimal places) [3 marks] c) [math: S] can be rewritten in the form [math: S=at−h+k], where [math: h=] Answer 5 Question 6[input] and [math: k=] Answer 6 Question 6[input]. [2 marks]d) The graph of [math: S] has a Answer 7 Question 6[select: , horizontal, vertical] asymptote with equation Answer 8 Question 6[select: , t=0.56, S=0.56, t=36.7, S=36.7] Its [math: S−] intercept is at [math: (0,] Answer 9 Question 6[input] [math: )].(You may want to sketch the graph of [math: S] on your calculator to help you answer this question. )  [3 marks]e) When will the sun strength reading reach 0 units? Answer: Answer 10 Question 6[select: , After 1 minute, After 2 minutes, After 10 minutes, Never] .  [1 mark]多项填空题