$612.04 will Jack have to pay if he drives 1,248 miles in one particular month .
<u>Step-by-step explanation:</u>
Here we have , Jack’s new truck costs $325 per month for car payments. In addition, he estimates that gas and maintenance expenses cost $0.23 per mile. We need to find :
a. Express the monthly cost as a function of the miles driven.
Let number of miles driven be x , & monthly cost be y So , equation is :
⇒
, Where 325 is
Jack’s new truck costs $325 per month for car payments .
b. How much will Jack have to pay if he drives 1,248 miles in one particular month?
According to question we have ,

Putting value of x in
we get:
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , $612.04 will Jack have to pay if he drives 1,248 miles in one particular month .
Answer:
x=-6
Step-by-step explanation:
-8(x+3)=24 first, divide both sides to get x+3=-3
then move the constant to the right and change its sign to get x=-3-3 and calculate to get your answer.
hope this helps!
Your answer is c for the graph
Avani wrote the linear equation y = 5x + 4. Then, she wrote the equation of the line that is perpendicular to y = 5x+ 4 and that passes through (15,–2). If her new equation is in the form
, what is the value of b?

- m is the slope
- b is the y-intercept
The equation of a line that is perpendicular to another line always has the opposite reciprocal slope. In the original equation, the slope is 5. The opposite of 5, which refers to the sign, is -5. The reciprocal of -5 is -1/5. That means the slope of the new line is -1/5.
The perpendicular line:
- Has a slope of

- Passes through the point (15, -2)
To find the equation of a line that passes through a specific point, you need to use slope-intercept form.

- y₁ is the y-value of the point
- m is the slope
- x₁ is the x-value of the point
y₁ is -2, m is -1/5, and x₁ is 15.
Substitute the known values into the equation:

Open the parentheses and distribute:

The new equation will be:

Lastly, you need to move the positive 2 to the other side to keep it in y = mx + b form.

The equation of the perpendicular line is:

The value of b is 1.
Answer:
3 miles per hour
Step-by-step explanation:
We know that distance over time, d/t, is equal to rate, r.
By knowing this, we can substitute in the distance and time given into the formula:
d/t = r
15/5 = r
To solve this, we just need to simplify 15/5 to give us our answer:
15/5 = r
3 = r
This means that our rate is 3 miles per hour.