writing inequalities in one variable\nwrite an equation to represent the given situation.\n1 kennedy is…

writing inequalities in one variable\nwrite an equation to represent the given situation.\n1 kennedy is shopping for a new car.\n• big car company is offering a loan for payments of $875 per month with no down payment.\n• max car company is offering a loan for payments of $750 per month with a down payment of $3,000.\nwrite an inequality to find x, the number of months it would take for big car company to cost more than max car company.\n2 janice decides to attend her local farmers market to buy some apples. there are two different options for purchasing apples.\n• option a is to purchase 1 grapefruit for $3 and 7 apples for x dollars each.\n• option b is to purchase 1 banana for $1 and 10 apples for x dollars each.\nwrite an inequality to find x, the price of an apple that would make option a cost less than option b.\n3 drake planted two trees in his backyard to provide more shade. the pine tree is 10 feet tall and will grow 2 feet per year for x years. the oak tree is 5 feet tall and will grow 2.5 feet per year for x years.\nwrite the inequality that represents this situation when the pine tree is shorter than the oak tree.

writing inequalities in one variable\nwrite an equation to represent the given situation.\n1 kennedy is shopping for a new car.\n• big car company is offering a loan for payments of $875 per month with no down payment.\n• max car company is offering a loan for payments of $750 per month with a down payment of $3,000.\nwrite an inequality to find x, the number of months it would take for big car company to cost more than max car company.\n2 janice decides to attend her local farmers market to buy some apples. there are two different options for purchasing apples.\n• option a is to purchase 1 grapefruit for $3 and 7 apples for x dollars each.\n• option b is to purchase 1 banana for $1 and 10 apples for x dollars each.\nwrite an inequality to find x, the price of an apple that would make option a cost less than option b.\n3 drake planted two trees in his backyard to provide more shade. the pine tree is 10 feet tall and will grow 2 feet per year for x years. the oak tree is 5 feet tall and will grow 2.5 feet per year for x years.\nwrite the inequality that represents this situation when the pine tree is shorter than the oak tree.

Answer

1.

Explanation:

Step1: Define cost expressions

Let $x$ be the number of months. Cost for Big Car Company is $875x$. Cost for Max Car Company is $3000 + 750x$.

Step2: Write the inequality

We want to find when Big Car Company costs more than Max Car Company, so the inequality is $875x>3000 + 750x$.

Answer:

$875x>3000 + 750x$

2.

Explanation:

Step1: Define cost expressions for each option

For Option A, the cost is $3+7x$. For Option B, the cost is $1 + 10x$.

Step2: Write the inequality

We want Option A to cost less than Option B, so $3+7x<1 + 10x$.

Answer:

$3+7x<1 + 10x$

3.

Explanation:

Step1: Define height - expressions for each tree

The height of the pine - tree after $x$ years is $10 + 2x$. The height of the oak - tree after $x$ years is $5+2.5x$.

Step2: Write the inequality

We want the pine - tree to be shorter than the oak - tree, so $10 + 2x<5+2.5x$.

Answer:

$10 + 2x<5+2.5x$