The soccer club is selling tshirts and washing cars to raise money for a summer trip. last week, the club raised $292.50 by selling 15 tshirts and washing 12 cars. this week, it raised $747.50 by selling 45 tshirts and washing 10 cars

The equation can be made by:

Letting x be the price of each tshirt sold

Y be the cost of washing cars

So the equation 1:

292.50 = 15x + 12y

Then the equation 2 is for this week:

747.50 = 45x + 10y

the answer is 0.5 mpm

step-by-step explanation:

the line goes half way through the square each time (which is 0.5 or half of course) so that would mean its 0.5 mpm.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.