Size Price Large Letter 95p The table shows the prices of posting large letters. Gerard wants to post two large letters: Weight up to and including 1009 250g 500g 750g 126 168 £2.42 - a large letter weighing 230g to the nearest 10 grams a large letter weighing 500g to the nearest 10 grams (a) What is the smallest possible price for posting both large letters? (b) What is the greatest possible price for posting both large letters?

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answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c