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3 years ago

What is the x-intercept of the function graphed below?

Mathematics

2 answers:

Sophie [7]3 years ago

8 0

Answer C (-8,0)

because the line crosses the x-intercept (the horizontal line)

Andrew [12]3 years ago

4 0

Answer:

Option C is correct

(-8, 0)

Step-by-step explanation:

x-intercept:

The point where function cuts x-axis that is point where y = 0.

Given that:

A graph with equation of line.

we have to find the find the x-intercept of the function graphed.

By definition of x-intercept.

From the given graph,

it can be seen clearly that the given line crosses that x-axis at (-8, 0)

⇒x-intercept = (-8, 0)

Therefore, the x-intercept of the function graphed is, (-8, 0)

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The fare for a taxi cab is $2.50 per passenger and $0.75 for each mile. A group of friends has $22.00

xeze [42]

For this case we have to:

x: Let the variable representing the number of people to travel in the group

y: Let the variable representing the number of miles traveled.

If friends only have $22 then we have the following inequality:

$2.50x + 0.75y \leq22$

Now, if there are three people in the group we have that $x = 3.$

$2.50 (3) + 0.75y \leq22\\7.5 + 0.75y \leq22\\0.75y \leq22-7.5\\0.75y \leq14.5\\y\leq \frac {14.5} {0.75}\\y\leq19.33$

The taxi can travel a maximum of 19.33 miles.

On the other hand, if the group wants to travel 10 miles then we have to y = 10.

$2.50x + 0.75 (10) \leq22\\2.50x + 7.5 \leq22\\2.50x \leq22-7.5\\2.50x \leq14.5\\x\leq \frac {14.5} {2.50}\\x \leq5.8$

Thus, they could travel a maximum of 5 people.

ANswer:

$2.50x + 0.75y \leq22$

Traveling 3 people, the taxi can travel a maximum of 19.33 miles

Traveling 10 miles, a maximum of 5 people can travel

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3 years ago