I thinks it’s c but cover your name so people don’t see it
Answer:
Step-by-step explanation:
in this expression we have
two variables: 6x and 10p
one constant 5
3 terms
Answer:
The distance to the market is 2000 m
Step-by-step explanation:
∵ John runs to the market and comes back in 15 minutes
→ Change the min. to the sec. because the unit of his speed is m/s
∵ 1 minute = 60 seconds
∴ 15 minutes = 15 × 60 = 900 seconds
→ Assume that t1 is his time to the market and t2 is his time from
the market
∵ t1 + t2 = 15 minutes
∴ t1 + t2 = 900 ⇒ (1)
→ Assume that the distance to the market is d
∵ His speed on the way to the market is 5m/s
∵ Time = Distance ÷ Speed
∴ t1 = d ÷ 5 ⇒ (1 ÷ 5 = 0.2)
∴ t1 = 0.2d ⇒ (2)
∵ His speed on the way back is 4m/s
∴ t2 = d ÷ 4 ⇒ (1 ÷ 4 = 0.25)
∴ t2 = 0.25d ⇒ (3)
→ Substitute (2) and (3) in (1)
∵ 0.2d + 0.25d = 900
∴ 0.45d = 900
→ Divide both sides by 0.45
∴ d = 2000 m
∴ The distance to the market = 2000 m
The answer to the question
Using equations of linear model function, the number of hours Jeremy wants to skate is calculated as 3.
<h3>How to Write the Equation of a Linear Model Function?</h3>
The equation that can represent a linear model function is, y = mx + b, where m is the unit rate and b is the initial value.
Equation for Rink A:
Unit rate (m) = (35 - 19)/(5 - 1) = 16/4 = 4
Substitute (x, y) = (1, 19) and m = 4 into y = mx + b to find b:
19 = 4(1) + b
19 - 4 = b
b = 15
Substitute m = 4 and b = 15 into y = mx + b:
y = 4x + 15 [equation for Rink A]
Equation for Rink B:
Unit rate (m) = (39 - 15)/(5 - 1) = 24/4 = 6
Substitute (x, y) = (1, 15) and m = 6 into y = mx + b to find b:
15 = 6(1) + b
15 - 6 = b
b = 9
Substitute m = 6 and b = 9 into y = mx + b:
y = 6x + 9 [equation for Rink B]
To find how many hours (x) both would cost the same (y), make both equation equal to each other
4x + 15 = 6x + 9
4x - 6x = -15 + 9
-2x = -6
x = 3
The hours Jeremy wants to skate is 3.
Learn more about linear model function on:
brainly.com/question/15602982
#SPJ1