Answer:
C. (see the attachment)
Step-by-step explanation:
Both inequalities include the "or equal to" case, so both boundary lines will be solid. That excludes choices A and D.
The first inequality is plotted the same way in all graphs, so we must look at the second inequality. The relationship of y and the comparison symbol is ...
-y ≥ (something)
If we multiply by -1, we get ...
y ≤ (something else)
This means the solution space will be <em>on or below (less than or equal to) the boundary line</em>. This is the shaded area in graph C. (Graph B shows shading <em>above</em> the line.)
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<em>Further comment</em>
Since the boundary for the second inequality is fairly steep, "above" and "below" the line can be difficult to see. Rather, you can consider the relationship of x to the comparison symbol. For the second inequality, that is ...
x ≥ (something)
indicating the solution space is <em>on or to the right of the boundary line</em>.
Complete Question
William has $7.50 to spend at the pretzel shop. A large pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and p pretzels. Which inequality can be used to find the number of pretzels William can buy?
a) 1.25p−0.9≤7.5
b) 1.25p+0.9≤7.5
c) 1.25p+0.9≥7.5
d) 1.25+0.9p≤7.5
Answer:
b) 1.25p+0.9≤7.5
Step-by-step explanation:
William has $7.50 to spend at the pretzel shop.
This means Williams can spend at least $7.50
A pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and ?pretzel
Therefore, the inequality can be used to find the number of pretzels William can buy is written as
1.25p+0.9≤7.5
Option b is the correct option
Answer:
32 orders
Step-by-step explanation:
# of orders = 2^5=32 different orders
50 + .4x = 70 + .3x
.4x = .3x + 20
.1x = 20
x = 200
Let x be the number of miles.
They have to drive 200 miles.