The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2cm2 /min. at what rate is the base of the triangle changing when the altitude is 10 cm and the area is 100 cm2 ?

We have the area of the triangle .

Differentiating with respect to time t,

Substituting numerical values, the rate of change of base length is

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt