How do you write an equation to represent a real-world situation?

1 answer:

4 0

You have to organize the parameters of the real-world situation that is known and unknown. Also, you have to distinguish which of them are dependent and independent. Next, you assign letters as your variables. Lastly, you make an algebraic expression by translating the relationship into the mathematics.

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Jim needs to rent a car. A rental company charges $21.00 per day to rent a car and $0.10 for every mile driven.

Ulleksa [173]

Answer:

$21d+25\leq 115$

Max is 4 days.

Step-by-step explanation:

An inequality is a math statement with more the one solution. The solution has a range of values for which the inequality can be satisfied. It has the same following components as an equation: variables and operations. However, the equal sign is replaced by an inequality sign: $,\leq,\geq$ .

We start by choosing a variable for an unknown value. Here is it the number of days he rents the car. We choose d.

We know he rents it for $21 pr day or 21d for any number of days. We also know her will drive 250 miles at $0.10 per mile or 0.10(250). We will combine the two into an expression.

21d + 0.10(250)

We know his limit is $115. This means he can rent the car for any number of days until he reaches $115. The charge must be less than or equal to 115.

So we write $21d+0.10(250)\leq 115$ .

To find the number of days he can rent the car, we solve for d using inverse operations.

$21d+0.10(250)\leq 115\\21d+25\leq 115\\21d+25-25\leq 115-25\\21d\leq 90\\\frac{21d}{21} \leq \frac{90}{21}\\d\leq 4.3$

This means Jim can rent the car up to 4 days. The 5th day will put the cost over $115.

3 0

3 years ago

X^2-x-12 factor completely

steposvetlana [31]

Use the sum-product pattern

2
−

−
1
2
x
2
−
x
−
12
x2−x−12

2
+
3

−
4

−
1
2
x
2
+
3
x
−
4
x
−
12
x2+3x−4x−12
2
Common factor from the two pairs

2
+
3

−
4

−
1
2
x
2
+
3
x
−
4
x
−
12
x2+3x−4x−12

(

+
3
)
−
4
(

+
3
)
x
(
x
+
3
)
−
4
(
x
+
3
)
x(x+3)−4(x+3)
3
Rewrite in factored form

(

+
3
)
−
4(+3)x
(x+3)−4(x+3)
x(x+3)−4(x+3)
(−4)(+3)
(x−4)(x+3)
(x−4)(x+3)

5 0

2 years ago

-8b-32 what is the answer with work?

Crank

Well the LCM (lowest common multiples) for 8 and 32 would be 4. So plug 4 into "b" -8×4-32. -8×4=32. -32-32. Since you can't subtract 32 and 32 you add! Which gives you -64.

Hope this helps (:

7 0

3 years ago

500 grams of tomatoes cost £1.76 how much will 1.75kg cost??

ValentinkaMS [17]

500 grams equals 0.50 kg so multiply 1.76 3 times to get 5.28, then divide 1.76 by 2 to get .88 add the two together to get 6.16

3 0

2 years ago

You shouldn't get this question wrong, right?

uranmaximum [27]

Answer:

You have THREE OR 3 APPLES

4 0

2 years ago

Read 2 more answers