. At a certain instant, the length of a rectangle is 3 inches and is increasing at the rate of 1 inch per minute. At the same instant, the width is 2 inches and is decreasing at the rate of .5 inches per minute. Is the area increasing or decreasing

Area is increasing

Step-by-step explanation:

Let x be the length of rectangle and y be the width of rectangle

We are given that

x=3 in

dx/dt=1 in/min

y=2 in

dy/dt=-0.5/min

We know that

Area of rectangle,

Differentiate w.r.t t

Substitute the values

Hence, the area  of rectangle is increasing.

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

mxb67

step-by-step explanation: