Find the constant of variation for the relation and use it to write an equation for the statement. then solve the equation.

b.

Step-by-step explanation:

Based on the information given, you can write the following expression:

Where k is the the constant of variation

If y=4/63 when x=3, then you can substitute these values into the expression and solve for k:

Substitute k into the expression. Then the equation is:

Substitute x=5  into the equation. Then, y is:

Final answer is choice B.,

Step-by-step explanation:

Given that if y varies inversely as square of x, and when x=3, then we need to find out y-value when x=5.

We also need to find the constant of variation and the equation.

Since y varies inversely as square of x, so we can write equation

where k is constant of variation.

Plug given values  and x=3

Hence constant of variation is

Now plug the value of k into formula

we get required equation as  

Now plug the value of x=5 into above formula

Hence final answer is choice B.,

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2

the answer is b.6

step-by-step explanation: