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Detailed Solution

135. a: Rate (R) is directly proportional to d. We write this as R = k.d, where k is a constant. Rate is inversely proportional to T. We write this as R = k. 1/T, where k is a constant. In the combined expression, d must appear in the numerator and T in the denominator. This is the case in A.

136. c: To find the average we need to find the total number of children (1x24 + 2x36 + 27x3) = 24 + 72 + 81 = 177, and divide by the total number of families (13 + 24 + 36 + 27) = 100.
This give 177/100 = 1.77 which is approx. 1.8

137. d: The modal value for the number of children per family is the number that occurs most. Since the largest number of families have 2 children, the mode is 2. The median number is also 2 because we have 100 families and if we write down the number of children per family in ascending order we would write 13 zeros, followed by 24 ones followed by 36 twos etc… and the median will be the average of the numbers that occur at positions 50 and 51 in this list. These numbers will both be 2.

138. 139. a: Rearrange the equation to fit the form y = mx + c, where c is the intercept on the y-axis.
At this point x = 0.
4y = 12 – 5x; y = -5/4 x + 12/4; 12/4 = c = 3

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