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jek_recluse [69]
3 years ago
11

You are going to an amusement park over Spring Break. The cost of admission to enter the park is $30 and the rides are an additi

onal $6 each. If your parents give you $100 to spend at the amusement park, what is the maximum number of rides you can go on? Write an inequality to show the maximum number of rides you can go on.​
Mathematics
2 answers:
vlabodo [156]3 years ago
6 0

Answer:

30+6x ≤ 100 (inequality)

The maximum amount of rides is 11 rides

Step-by-step explanation:

So first the admission fee is 30

Each ride is 6

So since you can go on any amount of rides, its unknown so (x)

You only have a 100 dollars and you can’t go over but you can go lower

so 30+6x≤100

If you solve it

x≤11

So 11 rides

dem82 [27]3 years ago
6 0

Answer:

30+6x=100

Step-by-step explanation:

100-30=70

6*11= 66

The total number of rides he can go on is 11. He will have a remaining balance of $4.00 which is not enough to pay for another ride.

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Step-by-step explanation:

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Answer:

<em>A.   minus 10,</em>

Step-by-step explanation:

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Therefore minus 10 would not be a reasonable answer.

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Can someone help me and explain how you did it?
Feliz [49]

Answer:

slope: -3/5

y-intercept: (0, 4)

slope-intercept form: y = -3/5x + 4

Step-by-step explanation:

<h3><u>Finding the slope</u></h3>

To find the slope of this line, you would take two points from the table and substitute their coordinates into the slope formula.

Slope formula: \frac{y_2-y_1}{x_2-x_1}

I'm going to use the points (0, 4) and (5, 1). You can really use any point from the table. Substitute these points into the formula to find the slope.

(0, 4), (5, 1) → \frac{1-4}{5-0} \rightarrow \frac{-3}{5}

This means the slope of the line is -3/5.

<h3><u>Finding the y-intercept</u></h3>

The y-intercept will always have the value of x be 0 (so the point is solely on the y-axis), so by looking at the table we can see that the y-intercept is at (0, 4).

<h3><u>Finding the slope-intercept form</u></h3>

Since we have the slope and a point of the line, we must use point-slope form to find the equation of the line in slope-intercept form. Substitute in the point (0, 4) --you could use any point from the table-- and the slope -3/5 into the point-slope form equation.

point-slope form: y - y1 = m(x - x1) --you'll be substituting the point coordinates and slope into y1, x1, and m.

y - (4) = -3/5(x - (0))

Simplify.

y - 4 = -3/5x

Add 4 to both sides.

y = -3/5x + 4 is the equation of the line in slope-intercept form (you have both the slope and the y-intercept in this form).

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