A person's cardiofitness can be measured by determining how many mets, or metabolic units, he or she can reach at peak exertion. one met is the amount of energy used when sitting quietly. the formulas for ideal mets are given below. 14.7minusage times 0.13      for women 14.7minusage times 0.11      for men a) calculate the ideal met for a 40-year old man. b) find 85% of the ideal met in part a). (it is recommended that a person should reach 85% of his or her met when exercising.)

a) Putting age into the formula gives

... MET = 14.7 - 40 × 0.11 = 14.7 - 4.4 = 10.3

b) 85% of this value is

... 0.85 × 10.3 = 8.755, about 8.8

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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