Which equation below will produce a decay curve? y = 3^x - 4
y = 2(4)^x
y = 1/2(3)^x
y = 6(1/3)^x

Correct option: fourth one -> y = 6(1/3)^x

Step-by-step explanation:

A decay curve is produced by an exponencial function with a rate lesser than 1 and greater than 0. This way, we have an exponencial function where the values of y decrease when the values of x increase.

The first equation is a linear equation.

The second and third equations are exponencial equations, but with a rate bigger than 1

The fourth equation is an exponencial equation with a rate lesser than 1 and greater than 0, so this equation will produce a decay curve.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.