A video game system and several games are sold for $652. The cost of the games is 3 times as much as the cost of the system. Fin
d the cost of the system and the cost of the games.
Cost of the video game system: $
Cost of the video game system: $
1 answer:
Answer:
The cost of the system is $163 and The cost of the games is $489
Step-by-step explanation:
∵ A video game system and several games are sold for $652
∵ The cost of the games is 3 times as much as the cost of the system
→ Assume that the cost of the system is $x
∵ The cost of the system = x
∴ The cost of the games = 3 × x = 3x
∵ The total cost of the system and the games = 652
→ Equate the sum of the cost of the system and the cost of the games
by 652
∴ x + 3x = 652
→ Add the like terms in the left side
∴ 4x = 652
→ Divide both sides by 4 to find x
∵
∴ x = 163
∵ The cost of the system = x
∴ The cost of the system is $163
∵ The cost of the games = 3x
∴ The cost of the games = 3(163) = 489
∴ The cost of the games is $489
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Answer:
y-intercept: -5
Slope: 4
Equation: y = 4x - 5
Step-by-step explanation:
✔️The y-intercept is the value of y when x = 0. From the table of values, it shows that when x = 0, y = -5. Therefore:
y-intercept (b) = -5
✔️using two pairs from the table, (1, -1) and (2, 3):
Slope = 4
✔️To write an equation for the function, substitute m = 4, and b = -5 into y = mx + b.
Thus:
y = 4x +(-5)
y = 4x - 5