The slope of a graph representing the number of calories that chad burns (y-axis) with respect to the number of times he works out (x-axis) is 230. which point will lie on the graph? a. (19, 4,370) b. (18, 3,960) c. (18, 4,730) d. (19, 3,960)

Option A. (19, 4,370)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem

The relationship between the number of calories that Chad burns (y-axis) with respect to the number of times he works out (x-axis) represent a proportional variation

so

we have that

----> the constant is equal to the slope

substitute

----> linear equation that represent the situation

If a point lie on the graph, the the point must satisfy the linear equation

Verify each case

case A) (19,4,370)

For x=19, y=4,370

substitute in the equation

----> is true

therefore

The point lie on the graph

case B) (18,3,960)

For x=18, y=3,960

substitute in the equation

----> is not true

therefore

The point does not lie on the graph

case C) (18,4,730)

For x=18, y=4,730

substitute in the equation

----> is not true

therefore

The point does not lie on the graph

case D) (19,3,960)

For x=19, y=3,960

substitute in the equation

----> is not true

therefore

The point does not lie on the graph

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

y -5 = (-1/4)(x + 8)

step-by-step explanation: