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Artyom0805 [142]
3 years ago
8

A person can pay $ 27 for a membership to the history museum and then go to the museum for just $1 per visit. What is the maximu

m number of visits a member of the history museum can make for a total cost of $29?
Mathematics
1 answer:
Alenkasestr [34]3 years ago
3 0

Answer:

2 visits

Step-by-step explanation:

Step one:

cost for membership=$27

cost per visit= $1

let the number of visit be x

the total is expressed as

y=mx+c

total =x+27

Step two:

given a total of $29

the number of visits can be found as

29=x+27

29-27=x

x=2

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The equation (form) is: \frac{2}{3}x + 4 = 7

The solution of the equation is: x = \frac{9}{2}


Explanation:

First, let's call the number we are going to solve for "x".

Then two thirds of this number can be written as:

\frac{2}{3}x

Then "plus 4" means add 4 we get:

\frac{2}{3}x + 4

"is 7" means that the above expression is equal to 7 (as follows):

\frac{2}{3}x + 4 = 7

The solution of the above equation is:

\frac{2}{3}x + 4 = 7 \\ \frac{2}{3}x = 3 \\ x =  \frac{9}{2}

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Step-by-step explanation:

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lara [203]

Answer: Carlton's cabs is the cheaper option if she wants to travel 15 miles.

Step-by-step explanation:

A linear relationship can be written as:

c = a*n + b

where a is the slope (in this case, the rate per mile), n is the number of miles driven by the taxi, and b is the y-axis (in this case, the initial cost) intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then for each table we only need to take two points and construct the linear equation:

Treveon's Taxis:

We can use the two points (1, $5.25) and (3, $9.75)

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a = ($9.75 - $5.25)/(3 - 1) = $2.25

This means that each mile costs $2.25

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c = $2.25*n + b

To find the value of b, we can just replace one of the points in the equation. For example, I will se the point (1, $5.25) this means that we need to replace n  by 1, and c by $5.25

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$5.25 = $2.25*1 + b

$5.25 - $2.25 = b

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Carlton's Cabs:

Same approach as before, here I will use the points (1, $7.00) and (3, $10.50)

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a = ($10.50 - $7.00)/(3 - 1) = $1.75

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c = $1.75*n + b

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We only need to replace n by 15 in both equations, and see in which one the cost is lower:

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Then Carlton's Cabs is a better option if you want to travel 15 miles.

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