Question
Rebecca earns $30 for each item she sells and a 5% commission on each sale she makes. Write an equation to express her earnings in 5 days if she sold 10 items.
Hint:
When two quantities of different units are compared and expressed as a ratio, it is known as Rate. For example, a car travels at a speed of 100 kilometres per hour, then it means in one hour it covers 100 kilometres.
The correct answer is: The equation which expresses Rebecca’s earnings is y = 1.5x and her earnings in 5 days is $ 15.
Let’s say that the number of items sold by Rebecca is x and her earnings are y
It is given that Rebecca earns $30 for each item she sells and she makes a 5% commission on each sale.
Earning of Rebecca on each sale = 
= $ 1.5
If Rebecca sold x items, Earning of Rebecca = $ 1.5x
y = $ 1.5x
If in 5 days she sold 10 items then here earnings = $ 1.5 × 10 = $ 15
Final Answer:
The equation which expresses Rebecca’s earnings is y = 1.5x and her earnings in 5 days is $ 15.
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Solve each compound inequality and graph the solution.
2x+5 > -3 and 4x+7 < 15
When two inequality statements are joined by the words "or" or "and," the sentence is said to be compound inequality. The preposition "and" denotes that both statements in the compound sentence are true simultaneously. It is where the solution sets for the several statements to cross or overlap. The conjunction "or" indicates that the whole compound statement is true.
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Solve for x: 3 x + 2 < 14 and 2 x – 5 > –11
Here we have to solve each inequality individually. Because the joining word is "and," the overlap or intersection is the desired outcome.
3x+2<14 and 2x-5>-11
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Numbers to the left of 4 are represented by x < 4, and the right of -3 is represented by x > -3. The solution set consists of {x| x > –3 and x < 4}
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¶For instance, 1 < x < 3 is equivalent to "x > 1 andx < 3". The use of "or" is always used to specifically refer to a compound inequality, on the other hand.
¶x > 1: Since there is no "=" at 1, we receive an open dot. Additionally, since 1 has ">," we draw an arrow to the right of it.
Solve the compound inequality -3x + 2 > -7 or 2(x - 2) ≥ 6. Graph the solution:
The combination of two inequalities using "and" or "or" results in a compound inequality. Each inequality in a compound inequality can be solved using the same steps as a normal inequality, but when combining the solutions, it makes a difference whether "and" or "or" is used to join the two inequality solutions together.
¶For instance, 1 < x < 3 is equivalent to "x > 1 andx < 3". The use of "or" is always used to specifically refer to a compound inequality, on the other hand.
¶x > 1: Since there is no "=" at 1, we receive an open dot. Additionally, since 1 has ">," we draw an arrow to the right of it.
