how can we show that exhaled air has more carbon dioxide

Your friend has answered correctly- the exhaled air contains carbon dioxide-this can be easily proved with the help of lime water. Take two beakers- A & B containing lime water in equal quantity. Now leave the beaker A undisturbed and  blow air in the beaker B with the help of straw. It will be clearly observed that lime water in beaker B first turns milky due to high concentration of CO2  where as  lime water in beaker A turns milk after taking some time due to low concentation of CO2 in the atmosphere.

@Adithya:- Good efforts, keep contributing!!

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 take a glass of lime water then take a straw and blow air into the lime water.you can see lime water turning into milky.

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