Your goal is to spend less than $450 on a trip. so far, you have spent $75 dollars on gas for your car. you will spend $100 each day on other expenses. let d represent the number of days for your trip. write an inequality and solve.

75  + 100(d) < $450

d < 3.75

Step-by-step explanation:

Given in the question,

amount already spent on gas for car = $75

suppose number of days = d

You will spend $100 each day on other expenses.

Equation1

100(d)

Equation2

$75  + 100(d) < $450

Solve the inequality

100(d) < $450 - $75

100(d) < 375

d < 375/100

d < 3.75

Step-by-step explanation:

 You know that you need to  spend less than $450 on the trip (<450).

You already have spent $75.

You have a cost that varies in function of the amount of days "d". This cost is:

.

Therefore, the sum of this cost should be less than 450.

Then, the inequality is:

To solve it, subtract 75 from both sides of the equation and then divide both sides by 100:

=====================================

explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer