Richard is climbing a mountain. The temperature ((7°C) is directly proportional to the height (h metres) above the base camp. When he is 500m above the base camp, the temperature is -5°C. i. Find an equation connecting T and h.

[2]

The base camp is 2500m above sea level. Given that the temperature at the top of the mountain is - 18°C then find:

[1]

ii. The height of the top of the mountain above sea level

iii. Temperature at sea level.

The number of members f(x) in a local swimming club increased by 30% every year over a period of x years. the function below shows the relationship between f(x) and x: f(x) = 10(1.3)xwhich of the following graphs best represents the function? graph of f of x equals 1.3 multiplied by 10 to the power of x graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing towards infinity graph of f of x equals 10 multiplied by 1.3 to the power of x graph of f of x equals 1.3 to the power of x