can someone assist me with this question

Question

Frieda sells T-shirts at a market. If she charges R50 per shirt she sells 26 shirts per day. If she charges R80 per shirt she sells only 11 shirts per day. Let x represent the price of a T-shirt and let y represent the number of T-shirts that is sold per day. If the number of T-shirts sold is dependent on the price asked, the function describing this linear relationship is

Answer 1

Set up two points, then use the equation of a line to find the "linear relationship".

The first point will be ($50, 26) and the second point will be ($80, 11)

The slope of the line containing both of these points is (11 - 26)/(80-50) = -15/30 = -(1/2)

The equation of a line is y = mx+b, so using the point ($50,26) and substituting for x, y, and m into the equation for a line, we get

26 = (-1/2)(50) + b

26 = 25 + b

b = 1

So the final answer is the line with the equation

y =(-1/2)x + 1