(20 points)
samantha wants to use her savings of $1,150 to buy shirts and watches for her family. the total price of the shirts she bought was $84. the watches cost $99 each. choose the inequality that would be used to solve for the maximum number of watches samantha can buy with her savings.
99 + 84x ≤ 1,150
99x + 84 ≥ 1,150
99x + 84 ≤ 1,150
99 + 84x ≥ 1,150

the answer is B. 99x + 84 ≥ 1,150

Step-by-step explanation:

the total price of the shirts was 84 dollars

the price of the watches was 99 each which is 99x

and it has to be less than 1150 or equal to that amount otherwise she would go over her savings

99x + 84 ≤ 1,150

Step-by-step explanation:

Given,

The cost of the shirt she bought = $ 84,

Also, the cost of each watch she bought = $ 99,

Suppose she bought x watches,

So, the cost of x watches = 99x dollars,

Thus, her total spending = 84 + 99x

Since, she has a budget of $ 1,150,

That is, her spending can not be exceed $ 1,150, ( or spending must be less than or equal to $ 1150 )

⇒ 99x + 84 ≤ 1,150

Which is the required inequality.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0