Doug wants to buy apples and oranges. he can spend up to $5; apples cost $1 per pound and oranges cost $1.25 per pound. how can doug spend the $5? if the solution to the problem is graphed, it will be an inequality with a line as the border. what does the line represent? heelpp

There are infinite ways to spend the $5

The line represents every solution in which the $5 are completely spent.

Step-by-step explanation:

Let's call

x: pounds of apples bought

y: pounds of oranges bought

Given that apples cost $1 per pound and oranges cost $1.25 per pound, then the cost is:

1*x + 1.25*y

Doug can spend up to $5, so:

x + 1.25*y ≤ 5

Given that there are two variables (x and y) and only one inequality, there are infinite solutions. For example, if he buys 1 pound of apples and spends all his money, we get:

1 + 1.25*y = 5

y = (5-1)/1.25 = 3.2

that means, he can buy 3.2 pounds of oranges.

If the inequality is graphed, the line as a border is the equation:

x + 1.25*y = 5

which represents every solution in which the $5 are completely spent.

i think the correct option is the second option.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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