I need help solving these two questions (6 and 7) step by step. 6. The fine F (in dollars) for speeding on a 70-mile-per-hour highway in one state is modeled by the equationF=60+20(s-70) where s is the speed in miles per hour. Find the speed for a fine of $280.A. 85 mphB. 100 mphC. 81 mphD. 86 mphx-56+x7. Consider the equation=2+To avoid having to combine fractions, you can multiply both sidesof the equation by a common denominator. Multiply both sides of the equation by a common denominatorand solve for x.A. x=62B. x=40C. क =52D. x=428. Solve.d+3<5B. d<2C. d>2D. 2

Answered: 6. The fine F (in dollars) for speeding…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.1: Writing Equations In Slope-intercept Form

Problem 40PPS

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I need help solving these two questions (6 and 7) step by step.

6. The fine F (in dollars) for speeding on a 70-mile-per-hour highway in one state is modeled by the equation
F=60+20(s-70) where s is the speed in miles per hour. Find the speed for a fine of $280.
A. 85 mph
B. 100 mph
C. 81 mph
D. 86 mph
x-5
6+x
7. Consider the equation
=2+
To avoid having to combine fractions, you can multiply both sides
of the equation by a common denominator. Multiply both sides of the equation by a common denominator
and solve for x.
A. x=62
B. x=40
C. क =52
D. x=42
8. Solve.
d+3<5
B. d<2
C. d>2
D. 2

Expert Solution

Step 1

6. Given: The fine(F) for speeding on a 70 mile per hour highway by the equation: $F = 60 + 20 (s - 70)$ , where s is the speed in miles per hour.

Given fine is equal to $280.

So,

$\begin{array}{rcl} F & = & 60 + 20 (s - 70) \\ 280 & = & 60 + 20 (s - 70) \\ 220 & = & 20 (s - 70) \\ (s - 70) & = & 11 \\ s & = & 81 m i l e s / h o u r \end{array}$

Thus, the speed is 81 miles per hour when the fine is $280.

Hence the correct option for 6th is C. 81 mph.

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