Edexcel Mathematics June 2023 · Paper 2 · Question 4 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

June 2023 · Paper 2 · Question 4 · 4 marks

4. Coffee is poured into a cup. The temperature of the coffee, H °C, t minutes after being poured into the cup is modelled by the equation H = A e– Bt + 30 where A and B are constants. Initially, the temperatur e of the coffee was 85 °C. (a) State the value of A. (1) Initially, the cof fee was cooling at a rate of 7.5 °C per minute. (b) Find a complete equation linking H and t, giving the value of B to 3 decimal places. (3) 9

Lesson: Exponential Functions and Their Graphs