Directions: Write expressions to represent the quantities described below. a. Georgia is 4 years younger than Tristan. If Tristan is t years old, how old is Georgia? Also, if Steven is twice as old as Georgia, how old is he?

b. 150 people went to see “Ode to Algebra” performed in at DCP school auditorium. If the number of children that attended the performance was c, how many adults attended?

c. The cost of a new CD is $14.95, and the cost of video game is $39.99. How much would c CDs and v video games cost?

d. A hotdog, (h) cost $3 and a corndog, (c) cost $2.75. If $250 was collected, write a mathematical sentence to represent this information.

Part a:

Part b:

Part c:

Part d:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

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step-by-step explanation:

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

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